This is not a fractal pipe

(Dall-e creation)
Here is an idea that came to the author a few hours ago, while reading the French magazine Tangente in the waiting room of a cardiologist – and especially the article about Benoît Mandelbrot and the birth of fractality.
What on Earth could a fractal integer be, I thought. Let us take 107 for instance…

I watched the von Koch curve and noticed that the length of a segment was increased at each step (3/3 becoming 4/3 in the figure below).
 
I told to myself: I must increase the value of the digits, then invent something to avoid a combinatorial data explosion – I do not know what…
I wrote 107 in the little notebook that accompanies me everywhere. Then added 107 to each digit and iterated – this was done by presenting the results in the form of a pyramid.
107
108.107.114
109.108.116.108.107.114.115.115.118
...
Hmmm, the explosion I feared is already here.
Ah, we could erase the duplicated integers, or better the originals and the duplicates.
Our pyramid would become (erasures in yellow, aqua, etc.)
107
108 107 114
109 108 116 108 107 114 115 115 118
 ...
Waow, 3 integers left instead of 13?! But where is the fractal side of the result? Who cares – let us start with a(1) = 1 and see the evolution of “the 1-pyramid”!
At each stage, we have only two rules to compute the next step:
1)  successively add a(n) to every digit of a(n)
2) keep in the “pyramid” the integers that have no duplicate.
a(1) = 1:
1
2
4
8
16
17.22
18.24.24.24
(a triple yellow erasure!)
(22 will be erased later)
19.26
20.28.28.32
(a double erasure)
(20 will be erased later)
22.20.35.34
(we erase now the 22-aqua-pair and the 20-grey-pair)
38.40.37.38
(a double yellow erasure again, 40 is erased at the next step)
44.40.40.44
What? the iteration stops there?!
This means that we have a finite seq for a(1) = 1.
We could indeed present the “a(1) = 1” seq like this (the non erased terms):
S1 = 1, 2, 4, 8, 16, 17, 18, 19, 26, 32, 35, 34, 37.
a(1) = 3:
3
6
12
13.14
14.16.15.18
17.22.16.20.19.26
18.24. 24. 24.22.20.20.28. 28.32
… but 32 connects to the previous 1-pyramid, and we have the same finish:
35.34
38.40.37.38
44.40.40.44

 S2 = 3, 6, 12, 13, 15, 17, 19, 26, 32, 35, 34, 37.

The life of a(1) = 5 is the shortest so far:
5
10
11.10
22.22
S3 = 5, 11.

A last try with a(1) = 7 and the question time:
7
14
15.18
16.20.19.26
17.22.22.20.20.28.28.32
18.24.35.34
26.28.38.40.37.38
...
S4 = 7, 14, 15, 16, 19, 17, 32, 24, 35, 34, 28, 37, ...

— Mister Éric Angelini?
— Yes?
— Your turn, please take off your clothes to the waist and lie there; what is your exact date of birth?
— I wish you could erase it too…
— Pardon me?
Question time
a) Is there a sequence that does not stop too quickly?
b) Integers made of repdigits only (like 888) disappear immediately: are there integers not made of repdigits only that disappear immediately too? (1313 is such an integer, but 1313 repeats a pair of digits.)

Last remarks (the 3rd rule – and a doubt)
If you look carefully at the 7-pyramid hereunder, you will notice that the integer 28 is erased twice at step #4… but still visible in the last line. This is because of our third and last rule (I hope): “The erasure of a term at step k has no influence on the terms appearing at steps > k”.
7
14
15.18
16.20.19.26
17.22.22.20.20.28.28.32
18.24.35.34
26.28.38.40.37.38
...
Ok, but as we have seen, a term appearing a step k erases sometimes terms already in the pyramid, terms that appeared before, at step j < k.  Are we sure that the first terms of a sequence (of which we do not know whether it stops or not) are definitive? Another paradox?
P.-S. 
Dont miss the beautiful graphs after the hereunder update #2
____________________
Update #1 – Jean-Marc Falcoz, wrote today (August 4, 2024)
[début, in French, is start in English, and 134 éléments, obtenus en 75 étapes is 134 elements, obtained in 75 steps]:

> J’aime bien ta pipe fractale !
> J’ai fait un programme qui implémente ton idée, je crois qu’il est correct.
> Voici le résultat pour les 100 premiers entiers. Le programme est très rapide,
> il est censé détecter et signaler une éventuelle boucle (...)

Début = {1}
s = {1,2,4,8,16,17,18,19,26,32,35,34,37}
13 éléments, obtenus en 12 étapes

Début = {2}
s = {2,4,8,16,17,18,19,26,32,35,34,37}
12 éléments, obtenus en 11 étapes

Début = {3}
s = {3,6,12,13,15,17,19,26,32,35,34,37}
12 éléments, obtenus en 10 étapes

Début = {4}
s = {4,8,16,17,18,19,26,32,35,34,37}
11 éléments, obtenus en 10 étapes

Début = {5}
s = {5,11}
2 éléments, obtenus en 4 étapes

Début = {6}
s = {6,12,13,15,17,19,26,32,35,34,37}
11 éléments, obtenus en 9 étapes

Début = {7}
s = {7,14,15,16,19,17,32,24,35,34,28,37,33,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
127 éléments, obtenus en 79 étapes

Début = {8}
s = {8,16,17,18,19,26,32,35,34,37}
10 éléments, obtenus en 9 étapes

Début = {9}
s = {9,18,19,26,32,22,35,34,37}
9 éléments, obtenus en 7 étapes

Début = {10}
s = {11}
1 élément, obtenu en 3 étapes

Début = {11}
s = {11}
1 élément, obtenu en 2 étapes

Début = {12}
s = {12,13,15,17,19,26,32,35,34,37}
10 éléments, obtenus en 8 étapes

Début = {13}
s = {13,14,15,17,19,26,32,35,34,37}
10 éléments, obtenus en 8 étapes

Début = {14}
s = {14,15,16,19,17,32,24,35,34,28,37,33,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
126 éléments, obtenus en 78 étapes

Début = {15}
s = {15,16,17,18,19,22,33,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
121 éléments, obtenus en 77 étapes

Début = {16}
s = {16,17,18,19,26,32,35,34,37}
9 éléments, obtenus en 8 étapes

Début = {17}
s = {17,18,19,22,33,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
119 éléments, obtenus en 75 étapes

Début = {18}
s = {18,19,26,32,22,35,34,37}
8 éléments, obtenus en 6 étapes

Début = {19}
s = {19,28,22,33,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
118 éléments, obtenus en 74 étapes

Début = {20}
s = {22}
1 élément, obtenu en 3 étapes

Début = {21}
s = {21,23,22,25,26,27,28,29,33,35,31,39,34,37,38,41,61,45,42,67,49,46,44,73,53,52,83,77,57,54,91,69,62,59,58,94,75,78,66,98,85,93,96,118,112,126,127,131,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
136 éléments, obtenus en 76 étapes

Début = {22}
s = {22}
1 élément, obtenu en 2 étapes

Début = {23}
s = {23,25,26,27,28,29,33,35,31,39,34,37,38,41,61,45,42,67,49,46,44,73,53,52,83,77,57,54,91,69,62,59,58,94,75,78,66,98,85,93,96,118,112,126,127,131,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
134 éléments, obtenus en 75 étapes

Début = {24}
s = {24,26,32,35,34,33,39,37,46,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
120 éléments, obtenus en 74 étapes

Début = {25}
s = {25,27,29,33,31,32,35,34,44}
9 éléments, obtenus en 9 étapes

Début = {26}
s = {26,28,32,35,34,33,39,37,48,46,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
121 éléments, obtenus en 74 étapes

Début = {27}
s = {27,29,31,32,35,34,44}
7 éléments, obtenus en 8 étapes

Début = {28}
s = {28,33,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
116 éléments, obtenus en 73 étapes

Début = {29}
s = {29,31,32,37,35,45,42,38,49,57,54,46,53,59,58,56,63,61,69,67,62,75,73,64,85,86,81,84,93,89,88,97,112,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
129 éléments, obtenus en 77 étapes

Début = {30}
s = {33}
1 élément, obtenu en 3 étapes

Début = {31}
s = {31,32,37,35,41,45,42,52,49,55,57,54,53,59,58,56,63,61,69,67,62,75,73,64,85,86,81,84,93,89,88,97,112,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
129 éléments, obtenus en 78 étapes

Début = {32}
s = {32,35,34,37}
4 éléments, obtenus en 4 étapes

Début = {33}
s = {33}
1 élément, obtenu en 2 étapes

Début = {34}
s = {34,37,38,41,45,42,52,49,44,55,57,54,53,59,58,56,63,61,69,67,62,75,73,64,85,86,81,84,93,89,88,97,112,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
129 éléments, obtenus en 77 étapes

Début = {35}
s = {35,38,41,45,42,52,49,55,57,54,53,59,58,56,63,61,69,67,62,75,73,64,85,86,81,84,93,89,88,97,112,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
127 éléments, obtenus en 77 étapes

Début = {36}
s = {36,39,46,44,56,61,55,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
115 éléments, obtenus en 72 étapes

Début = {37}
s = {37}
1 éléments, obtenus en 3 étapes

Début = {38}
s = {38,41,45,42,52,49,44,55,57,54,53,59,58,56,63,61,69,67,62,75,73,64,85,86,81,84,93,89,88,97,112,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
127 éléments, obtenus en 76 étapes

Début = {39}
s = {39,42,46,44,56,57,54,61,55,59,58,67,64,63,73,68,69,77,74,76,75,91,81,85,89,82,93,97,84,92,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,162,195,163,166,167,169,179,232,189,235,197,237,198,217,243,211,228,249,236,248,251,242,257,261,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
120 éléments, obtenus en 71 étapes

Début = {40}
s = {44}
1 élément, obtenu en 3 étapes

Début = {41}
s = {41,45,42,49,46,44,53,55,52,56,57,54,61,69,59,58,67,62,75,66,73,64,85,86,81,88,93,92,89,97,123,114,124,116,118,126,127,132,128,129,133,134,135,136,137,143,144,145,173,154,155,158,159,187,164,161,165,169,194,175,178,195,237,179,184,181,243,188,249,189,248,251,242,257,261,199,212,264,265,213,266,273,214,215,272,277,276,281,287,293,216,278,298,217,218,282,221,226,222,232,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
136 éléments, obtenus en 71 étapes

Début = {42}
s = {42,46,44,52,55,57,54,62,59,58,63,77,69,75,78,82,85,86,84,93,98,114,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
122 éléments, obtenus en 72 étapes

Début = {43}
s = {43,47,46,51,56,59,58,55,57,61,63,67,62,69,73,64,75,68,89,91,77,74,76,97,78,82,85,84,93,92,112,96,122,123,118,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
121 éléments, obtenus en 70 étapes

Début = {44}
s = {44}
1 élément, obtenu en 2 étapes

Début = {45}
s = {45,49,53,55,56,63,61,69,67,64,75,78,73,85,83,77,93,91,92,94,123,124,114,116,127,132,118,128,129,133,134,138,143,144,145,146,187,147,194,148,195,149,162,159,163,151,155,174,165,175,178,179,185,181,235,189,237,198,243,249,248,251,211,214,257,261,215,264,265,236,218,266,273,242,219,226,221,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
122 éléments, obtenus en 70 étapes

Début = {46}
s = {46,52,55,57,54,62,59,58,63,77,69,75,78,82,85,86,84,93,98,114,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
120 éléments, obtenus en 71 étapes

Début = {47}
s = {47,51,56,52,59,58,61,57,63,67,69,73,77,81,83,75,89,91,86,97,94,99,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
112 éléments, obtenus en 69 étapes

Début = {48}
s = {48,52,56,57,54,61,59,58,67,64,63,73,68,69,77,74,76,75,91,81,85,89,82,93,97,84,92,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,162,195,163,166,167,169,179,232,189,235,197,237,198,217,243,211,228,249,236,248,251,242,257,261,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
117 éléments, obtenus en 70 étapes

Début = {49}
s = {49,53,56,63,61,69,67,64,75,78,73,85,83,77,93,91,92,94,123,124,114,116,127,132,118,128,129,133,134,138,143,144,145,146,187,147,194,148,195,149,162,159,163,151,155,174,165,175,178,179,185,181,235,189,237,198,243,249,248,251,211,214,257,261,215,264,265,236,218,266,273,242,219,226,221,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
120 éléments, obtenus en 69 étapes

Début = {50}
s = {55}
1 élément, obtenu en 3 étapes

Début = {51}
s = {51,56,52,61,57,54,67,59,58,73,64,63,68,69,91,77,74,76,75,81,85,89,82,93,97,84,92,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
117 éléments, obtenus en 70 étapes

Début = {52}
s = {52,57,54,62,59,58,63,77,69,75,78,82,85,86,84,93,98,114,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
118 éléments, obtenus en 70 étapes

Début = {53}
s = {53,58,56,63,61,69,67,64,75,78,73,85,83,77,93,91,96,99,98,112,122,123,118,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
120 éléments, obtenus en 69 étapes

Début = {54}
s = {54,59,58,64,63,74,76,69,77,81,83,75,89,91,86,97,94,99,88,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
109 éléments, obtenus en 68 étapes

Début = {55}
s = {55}
1 élément, obtenu en 2 étapes

Début = {56}
s = {56,61,67,64,73,83,82,77,88,91,86,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
110 éléments, obtenus en 69 étapes

Début = {57}
s = {57,62,77}
3 éléments, obtenus en 5 étapes

Début = {58}
s = {58,63,69,75,78,82,85,86,84,93,98,114,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
112 éléments, obtenus en 68 étapes

Début = {59}
s = {59,64,74,76,77,81,78,83,89,85,91,97,93,92,99,96,94,114,118,126,127,131,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
110 éléments, obtenus en 67 étapes

Début = {60}
s = {66}
1 élément, obtenu en 3 étapes

Début = {61}
s = {61,67,62,73,64,81,78,88,89,82,85,86,77,97,93,92,96,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
107 éléments, obtenus en 67 étapes

Début = {62}
s = {62,64,74,76,81,78,83,77,89,85,91,97,93,92,99,96,94,114,118,126,127,131,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
110 éléments, obtenus en 67 étapes

Début = {63}
s = {63,69,66,75,78,82,85,86,84,93,98,114,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
112 éléments, obtenus en 67 étapes

Début = {64}
s = {64,68,77,74,76,81,78,83,89,85,91,84,97,98,93,99,88,112,122,123,124,118,126,127,128,129,133,134,135,136,137,138,139,148,141,149,153,156,157,237,158,161,164,243,165,249,166,248,251,167,236,257,261,168,242,264,265,169,266,273,176,171,179,193,272,277,276,281,287,293,278,298,181,197,282,191,292,216,219,226,221,232,222,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
118 éléments, obtenus en 67 étapes

Début = {65}
s = {65,71,72,77,85,79,74,93,81,89,82,97,84,123,124,114,116,118,126,127,132,128,129,133,134,135,136,137,143,144,173,145,154,155,158,159,187,164,161,165,169,194,237,175,178,195,179,243,184,181,249,188,248,251,189,257,261,242,264,265,199,212,266,273,213,214,272,277,276,281,287,293,215,278,298,216,217,282,218,221,226,292,222,232,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
119 éléments, obtenus en 67 étapes

Début = {66}
s = {66}
1 élément, obtenu en 2 étapes

Début = {67}
s = {67,73,74,76,81,78,88,83,89,85,91,97,93,96,99,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
105 éléments, obtenus en 66 étapes

Début = {68}
s = {68,74,76,81,78,83,89,85,91,84,97,98,93,99,88,112,122,123,124,118,126,127,128,129,133,134,135,136,137,138,139,148,141,149,153,156,157,237,158,161,164,243,165,249,166,248,251,167,236,257,261,168,242,264,265,169,266,273,176,171,179,193,272,277,276,281,287,293,278,298,181,197,282,191,292,216,219,226,221,232,222,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
116 éléments, obtenus en 66 étapes

Début = {69}
s = {69,75,78,82,85,86,84,93,98,114,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
110 éléments, obtenus en 66 étapes

Début = {70}
s = {77}
1 élément, obtenu en 3 étapes

Début = {71}
s = {71,72,85,79,74,93,81,89,82,97,84,123,124,114,116,118,126,127,132,128,129,133,134,135,136,137,143,144,173,145,154,155,158,159,187,164,161,165,169,194,237,175,178,195,179,243,184,181,249,188,248,251,189,257,261,242,264,265,199,212,266,273,213,214,272,277,276,281,287,293,215,278,298,216,217,282,218,221,226,292,222,232,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
117 éléments, obtenus en 66 étapes

Début = {72}
s = {72,79,74,81,78,89,82,85,97,84,93,96,122,114,123,124,118,126,127,131,134,135,138,139,141,143,144,165,145,147,148,154,151,156,159,157,166,191,232,167,171,235,168,237,174,178,243,179,185,228,249,192,236,248,251,181,188,195,242,257,261,197,264,265,198,266,273,199,215,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
114 éléments, obtenus en 69 étapes

Début = {73}
s = {73,76,83,82,91,86,84,94,99,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
106 éléments, obtenus en 67 étapes

Début = {74}
s = {74,81,78,89,82,85,86,97,84,93,88,112,116,122,123,124,128,129,135,136,137,143,141,148,161,149,157,154,195,162,163,166,167,169,179,232,235,189,237,197,198,243,217,249,211,228,248,251,236,257,261,242,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
101 éléments, obtenus en 65 étapes

Début = {75}
s = {75,82,84,99,92,94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
103 éléments, obtenus en 67 étapes

Début = {76}
s = {76,83,82,91,86,84,94,99,88,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
106 éléments, obtenus en 66 étapes

Début = {77}
s = {77}
1 élément, obtenu en 2 étapes

Début = {78}
s = {78,85,86,93,92,96,99,98,112,122,123,118,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
109 éléments, obtenus en 65 étapes

Début = {79}
s = {79,86,88,92,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
101 éléments, obtenus en 65 étapes

Début = {80}
s = {88}
1 élément, obtenu en 3 étapes

Début = {81}
s = {81,89,82,97,84,99,92,88,94,114,116,118,122,123,124,132,134,136,138,141,146,147,179,185,148,194,149,154,151,191,156,167,237,168,173,169,243,175,249,236,171,176,248,251,242,181,197,257,261,264,265,266,273,211,272,277,276,281,287,293,214,278,298,215,219,226,282,232,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
104 éléments, obtenus en 64 étapes

Début = {82}
s = {82,84,99,92,88,94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
103 éléments, obtenus en 66 étapes

Début = {83}
s = {83,91,86,94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
101 éléments, obtenus en 65 étapes

Début = {84}
s = {84,92,88,94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
101 éléments, obtenus en 65 étapes

Début = {85}
s = {85,93,96,99,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
100 éléments, obtenus en 65 étapes

Début = {86}
s = {86,92,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
99 éléments, obtenus en 64 étapes

Début = {87}
s = {87,95,94,98,112,122,123,124,118,126,127,135,137,133,143,141,145,148,146,151,156,158,159,163,161,168,169,175,178,179,185,187,188,235,189,237,197,198,243,246,249,248,251,211,257,261,213,264,265,216,266,273,217,218,272,277,276,281,287,293,219,278,298,228,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
101 éléments, obtenus en 65 étapes

Début = {88}
s = {88}
1 élément, obtenu en 2 étapes

Début = {89}
s = {89,97,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
99 éléments, obtenus en 63 étapes

Début = {90}
s = {99}
1 élément, obtenu en 3 étapes

Début = {91}
s = {91,92,94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
100 éléments, obtenus en 65 étapes

Début = {92}
s = {92,94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
99 éléments, obtenus en 64 étapes

Début = {93}
s = {93,96,116,118,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
98 éléments, obtenus en 64 étapes

Début = {94}
s = {94,98,112,116,122,123,124,128,129,135,136,137,143,141,148,149,154,158,165,159,166,169,173,174,171,176,185,237,191,186,197,187,243,188,198,249,248,251,242,211,257,261,214,264,265,224,215,266,273,218,219,226,272,277,276,281,287,293,232,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
98 éléments, obtenus en 63 étapes

Début = {95}
s = {95,112,122,123,132,124,133,134,143,144,145,159,155,156,157,161,163,164,166,168,169,174,176,178,179,185,194,181,235,191,199,237,211,214,243,215,249,236,218,248,251,242,219,226,257,261,221,264,265,266,273,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
96 éléments, obtenus en 63 étapes

Début = {96}
s = {96,122,114,123,124,118,126,127,131,134,135,138,139,141,143,144,165,145,147,148,154,151,156,159,157,166,191,232,167,171,235,168,237,174,178,243,179,185,228,249,192,236,248,251,181,188,195,242,257,261,197,264,265,198,266,273,199,215,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
103 éléments, obtenus en 64 étapes

Début = {97}
s = {97,122,114,123,124,118,126,127,131,134,135,138,139,141,143,144,165,145,147,148,154,151,156,159,157,166,191,232,167,171,235,168,237,174,178,243,179,185,228,249,192,236,248,251,181,188,195,242,257,261,197,264,265,198,266,273,199,215,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
103 éléments, obtenus en 63 étapes

Début = {98}
s = {98,112,116,122,123,124,128,129,133,134,135,136,137,138,139,141,143,144,153,145,161,158,163,151,155,164,166,167,168,193,169,235,195,179,237,181,243,216,249,217,236,191,199,248,251,218,242,257,261,219,226,264,265,221,266,273,222,272,277,276,281,287,293,278,298,282,292,316,324,323,342,325,338,345,344,361,359,328,346,347,349,351,357,362,385,375,379,363,367,377,387,388,393,392,395,394,397,412,421,418,427,429}
102 éléments, obtenus en 62 étapes

Début = {99}
s = {99}
1 élément, obtenu en 2 étapes
____________________
Next day update #2 (August 5, morning)
Jean-Marc has now computed the first 10,000 starts. No loops. The last lines of all "pyramids" end in a sudden erasure as before – and the iteration stops there.
The hereunder successive 3-element braces {a, b, c}, must be read like this: 
a is the integer we use to start our "pyramid";
b is the number of elements in the pyramid that are not erased (before the end-line erasure);
c is the number of steps in the pyramid until the iteration stops.

{1, 13, 12}, for instance, summerizes the pyramid we have already seen, starting with a(1) = 1:

1
2
4
8
16
17.22
18.24.24.24
19.26
20.28.28.32
22.20.35.34
38.40.37.38
44.40.40.44
end

The starting term of the pyramid is a(1) = 1.
The yellow terms were erased during the iteration – 13 terms survived.
There are 12 steps in the pyramid.
The first brace is thus {1, 13, 12}.

The 10,000 first braces listed below produce two beautiful graphs, computed by Jean-Marc. The first one shows for the start a(x) the number (y) of non erased elements.
The start a(371), for instance, produces a blue dot at height y = 817 as 817 terms survived in the pyramid before the iteration stops.
Similarily, a(372) produces a blue dot at height 816.
The two corresponding braces (visible after the graphs) are {371, 817, 566} and {372, 816, 573}].

The second graph (hereunder) shows for the start a(x) the number (y) of steps before the iteration stops. The start a(371), for instance, produces a blue dot at height y = 566 as 566 steps are computed until the iteration stops.
Similarily, a(372) produces a blue dot at height 573.
The two corresponding braces (visible after the graph) are {371, 817, 566} and {372, 816, 573}].

{1, 13, 12},{2, 12, 11},{3, 12, 10},{4, 11, 10},{5, 2, 4},{6, 11, 9},{7, 127, 79},{8, 10, 9},{9, 9, 7},{10, 1, 3},{11, 1, 2},{12, 10, 8},{13, 10, 8},{14, 126, 78},{15, 121, 77},{16, 9, 8},{17, 119, 75},{18, 8, 6},{19, 118, 74},{20, 1, 3},{21, 136, 76},{22, 1, 2},{23, 134, 75},{24, 120, 74},{25, 9, 9},{26, 121, 74},{27, 7, 8},{28, 116, 73},{29, 129, 77},{30, 1, 3},{31, 129, 78},{32, 4, 4},{33, 1, 2},{34, 129, 77},{35, 127, 77},{36, 115, 72},{37, 1, 3},{38, 127, 76},{39, 120, 71},{40, 1, 3},{41, 136, 71},{42, 122, 72},{43, 121, 70},{44, 1, 2},{45, 122, 70},{46, 120, 71},{47, 112, 69},{48, 117, 70},{49, 120, 69},{50, 1, 3},{51, 117, 70},{52, 118, 70},{53, 120, 69},{54, 109, 68},{55, 1, 2},{56, 110, 69},{57, 3, 5},{58, 112, 68},{59, 110, 67},{60, 1, 3},{61, 107, 67},{62, 110, 67},{63, 112, 67},{64, 118, 67},{65, 119, 67},{66, 1, 2},{67, 105, 66},{68, 116, 66},{69, 110, 66},{70, 1, 3},{71, 117, 66},{72, 114, 69},{73, 106, 67},{74, 101, 65},{75, 103, 67},{76, 106, 66},{77, 1, 2},{78, 109, 65},{79, 101, 65},{80, 1, 3},{81, 104, 64},{82, 103, 66},{83, 101, 65},{84, 101, 65},{85, 100, 65},{86, 99, 64},{87, 101, 65},{88, 1, 2},{89, 99, 63},{90, 1, 3},{91, 100, 65},{92, 99, 64},{93, 98, 64},{94, 98, 63},{95, 96, 63},{96, 103, 64},{97, 103, 63},{98, 102, 62},{99, 1, 2},{100, 0, 3},{101, 0, 2},{102, 95, 63},{103, 102, 63},{104, 95, 62},{105, 97, 64},{106, 97, 63},{107, 101, 61},{108, 96, 61},{109, 92, 60},{110, 0, 2},{111, 1, 2},{112, 94, 61},{113, 95, 62},{114, 93, 60},{115, 2, 4},{116, 94, 61},{117, 92, 59},{118, 92, 59},{119, 92, 58},{120, 1, 3},{121, 93, 60},{122, 93, 60},{123, 92, 59},{124, 91, 58},{125, 103, 57},{126, 91, 58},{127, 89, 57},{128, 91, 57},{129, 92, 56},{130, 2, 3},{131, 96, 56},{132, 100, 56},{133, 96, 56},{134, 95, 55},{135, 90, 55},{136, 97, 55},{137, 98, 54},{138, 88, 55},{139, 91, 55},{140, 2, 3},{141, 92, 53},{142, 91, 60},{143, 89, 58},{144, 92, 53},{145, 91, 52},{146, 92, 53},{147, 87, 56},{148, 88, 54},{149, 85, 51},{150, 2, 3},{151, 22, 21},{152, 22, 16},{153, 87, 54},{154, 86, 55},{155, 22, 21},{156, 21, 20},{157, 86, 51},{158, 83, 50},{159, 79, 51},{160, 2, 3},{161, 80, 49},{162, 23, 13},{163, 82, 49},{164, 87, 51},{165, 83, 49},{166, 80, 49},{167, 79, 48},{168, 80, 50},{169, 77, 48},{170, 2, 3},{171, 78, 48},{172, 78, 48},{173, 18, 12},{174, 78, 47},{175, 80, 49},{176, 84, 48},{177, 78, 48},{178, 77, 47},{179, 76, 50},{180, 2, 3},{181, 9, 10},{182, 79, 48},{183, 73, 47},{184, 872, 604},{185, 12, 11},{186, 80, 46},{187, 873, 602},{188, 9, 10},{189, 8, 9},{190, 2, 3},{191, 1, 4},{192, 71, 46},{193, 6, 6},{194, 70, 45},{195, 71, 44},{196, 9, 10},{197, 69, 44},{198, 68, 44},{199, 1, 4},{200, 0, 3},{201, 863, 602},{202, 0, 2},{203, 863, 601},{204, 67, 43},{205, 66, 44},{206, 65, 43},{207, 67, 43},{208, 65, 42},{209, 67, 41},{210, 1, 3},{211, 3, 5},{212, 3, 5},{213, 2, 4},{214, 66, 41},{215, 5, 5},{216, 64, 41},{217, 4, 5},{218, 66, 40},{219, 861, 596},{220, 0, 2},{221, 2, 3},{222, 1, 2},{223, 63, 40},{224, 860, 596},{225, 3, 4},{226, 62, 39},{227, 61, 38},{228, 859, 595},{229, 62, 36},{230, 2, 3},{231, 63, 38},{232, 61, 38},{233, 61, 38},{234, 60, 37},{235, 60, 37},{236, 858, 594},{237, 63, 36},{238, 61, 35},{239, 856, 593},{240, 1, 3},{241, 858, 592},{242, 52, 35},{243, 62, 34},{244, 52, 35},{245, 55, 34},{246, 51, 34},{247, 840, 592},{248, 855, 592},{249, 857, 590},{250, 2, 3},{251, 20, 12},{252, 852, 592},{253, 852, 590},{254, 837, 591},{255, 852, 592},{256, 853, 591},{257, 851, 591},{258, 854, 589},{259, 835, 590},{260, 2, 3},{261, 56, 31},{262, 49, 31},{263, 48, 31},{264, 52, 31},{265, 848, 588},{266, 49, 31},{267, 50, 30},{268, 48, 30},{269, 51, 30},{270, 2, 3},{271, 48, 30},{272, 842, 587},{273, 12, 9},{274, 47, 29},{275, 50, 31},{276, 824, 583},{277, 842, 587},{278, 828, 587},{279, 841, 586},{280, 2, 3},{281, 48, 28},{282, 3, 4},{283, 840, 587},{284, 42, 29},{285, 819, 581},{286, 42, 28},{287, 825, 580},{288, 3, 4},{289, 48, 27},{290, 2, 3},{291, 830, 589},{292, 817, 580},{293, 828, 588},{294, 39, 27},{295, 835, 583},{296, 832, 583},{297, 38, 26},{298, 832, 583},{299, 817, 580},{300, 0, 3},{301, 816, 579},{302, 40, 27},{303, 0, 2},{304, 814, 578},{305, 829, 582},{306, 34, 25},{307, 41, 25},{308, 829, 581},{309, 39, 24},{310, 2, 3},{311, 40, 25},{312, 833, 582},{313, 40, 25},{314, 39, 24},{315, 829, 585},{316, 830, 580},{317, 833, 580},{318, 38, 23},{319, 829, 579},{320, 2, 3},{321, 831, 580},{322, 830, 580},{323, 830, 580},{324, 813, 575},{325, 829, 579},{326, 34, 22},{327, 3, 4},{328, 829, 578},{329, 30, 21},{330, 0, 2},{331, 31, 23},{332, 30, 22},{333, 1, 2},{334, 29, 21},{335, 3, 4},{336, 825, 577},{337, 827, 571},{338, 28, 20},{339, 812, 575},{340, 2, 3},{341, 812, 572},{342, 824, 576},{343, 826, 570},{344, 826, 570},{345, 22, 19},{346, 27, 19},{347, 825, 569},{348, 811, 574},{349, 825, 575},{350, 2, 3},{351, 23, 19},{352, 819, 574},{353, 813, 569},{354, 812, 568},{355, 813, 569},{356, 807, 573},{357, 818, 573},{358, 812, 568},{359, 811, 567},{360, 1, 3},{361, 810, 567},{362, 801, 567},{363, 19, 15},{364, 802, 568},{365, 16, 15},{366, 19, 15},{367, 19, 20},{368, 805, 566},{369, 18, 14},{370, 2, 3},{371, 817, 566},{372, 816, 573},{373, 3, 4},{374, 794, 565},{375, 797, 567},{376, 16, 15},{377, 3, 4},{378, 802, 564},{379, 806, 563},{380, 2, 3},{381, 26, 22},{382, 797, 564},{383, 795, 565},{384, 802, 564},{385, 797, 567},{386, 793, 562},{387, 8, 6},{388, 795, 565},{389, 795, 566},{390, 2, 3},{391, 794, 564},{392, 791, 562},{393, 792, 564},{394, 793, 564},{395, 791, 561},{396, 792, 562},{397, 792, 563},{398, 790, 560},{399, 792, 564},{400, 0, 3},{401, 790, 562},{402, 791, 563},{403, 792, 560},{404, 0, 2},{405, 7, 9},{406, 791, 562},{407, 2, 3},{408, 786, 558},{409, 787, 559},{410, 2, 3},{411, 788, 557},{412, 791, 561},{413, 790, 557},{414, 788, 557},{415, 787, 556},{416, 787, 557},{417, 789, 556},{418, 13, 10},{419, 788, 555},{420, 1, 3},{421, 795, 557},{422, 784, 556},{423, 10, 8},{424, 784, 556},{425, 790, 556},{426, 783, 555},{427, 796, 557},{428, 782, 554},{429, 792, 555},{430, 2, 3},{431, 783, 554},{432, 6, 5},{433, 5, 6},{434, 5, 6},{435, 781, 553},{436, 780, 553},{437, 4, 5},{438, 788, 554},{439, 778, 552},{440, 0, 2},{441, 3, 4},{442, 2, 3},{443, 787, 554},{444, 1, 2},{445, 3, 4},{446, 786, 553},{447, 787, 550},{448, 775, 551},{449, 776, 552},{450, 2, 3},{451, 779, 550},{452, 785, 552},{453, 771, 552},{454, 786, 549},{455, 786, 549},{456, 774, 550},{457, 776, 549},{458, 775, 551},{459, 785, 548},{460, 2, 3},{461, 784, 548},{462, 774, 548},{463, 786, 550},{464, 3, 4},{465, 770, 551},{466, 3, 4},{467, 774, 547},{468, 772, 547},{469, 783, 549},{470, 2, 3},{471, 782, 549},{472, 776, 547},{473, 773, 547},{474, 775, 546},{475, 774, 549},{476, 773, 547},{477, 775, 546},{478, 764, 548},{479, 765, 548},{480, 1, 3},{481, 774, 545},{482, 771, 546},{483, 5, 5},{484, 760, 547},{485, 767, 546},{486, 4, 5},{487, 769, 545},{488, 760, 547},{489, 771, 544},{490, 2, 3},{491, 770, 545},{492, 759, 546},{493, 773, 544},{494, 768, 544},{495, 759, 544},{496, 768, 544},{497, 769, 544},{498, 770, 543},{499, 768, 544},{500, 0, 3},{501, 764, 545},{502, 767, 543},{503, 767, 543},{504, 761, 543},{505, 0, 2},{506, 769, 544},{507, 757, 542},{508, 759, 542},{509, 765, 542},{510, 2, 3},{511, 760, 542},{512, 755, 543},{513, 763, 542},{514, 769, 541},{515, 760, 542},{516, 759, 541},{517, 758, 542},{518, 760, 541},{519, 767, 540},{520, 2, 3},{521, 761, 541},{522, 756, 540},{523, 756, 540},{524, 753, 541},{525, 756, 540},{526, 757, 540},{527, 755, 539},{528, 750, 539},{529, 762, 540},{530, 2, 3},{531, 752, 540},{532, 756, 539},{533, 746, 540},{534, 761, 538},{535, 746, 540},{536, 762, 538},{537, 754, 538},{538, 745, 539},{539, 748, 537},{540, 2, 3},{541, 754, 538},{542, 750, 539},{543, 749, 537},{544, 752, 537},{545, 752, 537},{546, 747, 538},{547, 746, 537},{548, 745, 536},{549, 751, 536},{550, 0, 2},{551, 747, 538},{552, 746, 537},{553, 745, 536},{554, 745, 536},{555, 1, 2},{556, 744, 535},{557, 740, 535},{558, 744, 535},{559, 739, 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83, 363},{9915, 81, 362},{9916, 9, 8},{9917, 79, 360},{9918, 8, 6},{9919, 2, 4},{9920, 1, 3},{9921, 96, 377},{9922, 1, 2},{9923, 94, 376},{9924, 79, 359},{9925, 9, 9},{9926, 7, 5},{9927, 7, 8},{9928, 76, 358},{9929, 83, 361},{9930, 1, 3},{9931, 82, 360},{9932, 4, 4},{9933, 1, 2},{9934, 81, 359},{9935, 21, 13},{9936, 76, 357},{9937, 1, 3},{9938, 11, 8},{9939, 76, 357},{9940, 1, 3},{9941, 78, 357},{9942, 75, 356},{9943, 82, 368},{9944, 1, 2},{9945, 15, 10},{9946, 73, 355},{9947, 73, 354},{9948, 77, 371},{9949, 13, 9},{9950, 1, 3},{9951, 77, 371},{9952, 72, 354},{9953, 12, 8},{9954, 75, 366},{9955, 1, 2},{9956, 5, 6},{9957, 3, 5},{9958, 66, 352},{9959, 68, 363},{9960, 1, 3},{9961, 71, 364},{9962, 68, 356},{9963, 3, 3},{9964, 67, 362},{9965, 69, 364},{9966, 1, 2},{9967, 68, 349},{9968, 66, 361},{9969, 64, 350},{9970, 1, 3},{9971, 67, 363},{9972, 66, 355},{9973, 65, 349},{9974, 68, 322},{9975, 63, 349},{9976, 65, 348},{9977, 1, 2},{9978, 64, 361},{9979, 61, 347},{9980, 1, 3},{9981, 65, 345},{9982, 63, 348},{9983, 62, 347},{9984, 62, 347},{9985, 59, 354},{9986, 60, 346},{9987, 61, 346},{9988, 1, 2},{9989, 58, 358},{9990, 0, 2},{9991, 61, 347},{9992, 60, 346},{9993, 58, 353},{9994, 59, 345},{9995, 1, 4},{9996, 57, 352},{9997, 57, 357},{9998, 58, 344},{9999, 1, 2},{10000, 0, 3}.

Many thanks and bravo, Jean-Marc – I will submit this to the OEIS soon!









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