L’idée
Faire entrer une suite S dans l’OEIS laquelle, lorsque l’on
clique sur « graph », reproduit l’image de la suite S elle-même.
L’histoire
Il s’agit d’un vieux rêve autoréférent du taulier –
lequel s’est dit un jour : ce serait sympa si la suite S apparaissait une
deuxième fois quand on clique sur « graph » !
Pour réaliser ce rêve il fallait d’abord dessiner les 10
chiffres selon une typographie spéciale – laquelle devait obéir à deux critères
particuliers :
– aucun chiffre, placé dans un repère orthonormé, ne pouvait comporter deux points ayant la même abscisse « x » [car le plotter
de l’OEIS dessine un par un (et de gauche à droite) des points ayant pour
coordonnées (x, y), avec x = l’index de a(n) et y = a(n) ; pour le dire
autrement, la suite S est une suite de hauteurs qui vont toutes, ici, de 0 à 19] ;
– il fallait, dans la mesure du possible, que la
typographie soit « homogène » (chaque chiffre ayant un « air de
parenté » avec les 9 autres).
Erik et Martin Demaine s’attelèrent à la tâche. Qu’ils
soient ici remerciés ! Les nombres dessinés par eux sont illustrés
ci-dessous – et on trouvera en fin de page la suite S autoréférente qui en découle :
0 = 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18, 15
1 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
2 = 1, 17, 3, 19, 7, 1, 11, 19, 15, 17, 1 3 = 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15
4 = 11, 13, 15, 11, 19, 1, 11, 5, 11, 9, 11, 13, 15,
17, 19
5 = 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19
6 = 5, 2, 9, 11, 1, 15, 11, 1, 19, 10, 3, 7, 19, 187 = 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19
8 = 5, 2, 9, 11, 13, 1, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15
9 = 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15
Dictionnaire (décrivant les nombres jaunes ci-dessous) ; ni 4, ni 6, ni 8 ne sont dans le dictionnaire car ils ne seront pas utilisés par la suite – sauf le 4 dans 14 et le 8 dans 18) :
0 = 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18, 15,
1 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
2 = 1, 17, 3, 19, 7, 1, 11, 19, 15, 17, 1,
3 = 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15,
5 = 1, 1, 1, 11, 14, 9, 17, 1, 19, 9,
3, 19, 7, 9, 19, 19, 19,
7 = 19, 1, 19, 5, 19, 9, 19, 13, 19,
17, 19,
9 = 2, 1, 1, 13, 17, 10, 1, 19, 10, 5,
19, 9, 11, 18, 15,
10 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18, 15,
11 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7,
9, 11, 13, 15, 17, 19,
13 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 3,
2, 1, 1, 10, 19, 17, 10, 5, 19, 9, 11, 18,
14 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 11, 13, 15, 11, 19, 1, 11, 5, 11, 9, 11, 13, 15, 17,
19,
15 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 1,
1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19,
17 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
-9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19,
18 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 10, 1, 19, 10, 5, 19, 9, 11,
18, 15,
19 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2,
1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15,
virgule = 0, 1,
moins = 10, 10, 10, 10, 10,
blanc = -9,
(Auto)-description
de S
S1 [1re ligne de
l’(auto)-description de S)] :
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9), <— 1re ligne
et 1re verticale jaune à gauche : c’est le dessin du 1 suivi d’un double blanc, d’une virgule et d’un autre double blanc (-9, -9, 0, 1, -9, -9)
3 = 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
<— 2e ligne
5 = 1, 1, 1,
11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, (-9, -9, 0, 1, -9, -9), <— 3e ligne
7 = 19, 1, 19,
5, 19, 9, 19, 13, 19, 17, 19, (-9, -9, 0, 1, -9, -9), <— 4e ligne
9 = 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9), <— 5e ligne
11 = 1, 3,
5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
13 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
15 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19,
19, (-9, -9, 0, 1, -9, -9),
17 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
S2 [2e ligne de
l’(auto)-description de S ci-dessus)] :
Rappel : la 2e ligne de S1 est : 3, 2, 1, 1, 10, 19, 17, 10, 5, 19,
9, 11, 18 <— 2e ligne et colonne verticale jaune
à gauche = dessin du 3
3 = 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
2 = 1, 17,
3, 19, 7, 1, 11, 19, 15, 17, 1, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
10 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
17 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, (-9, -9, 0, 1, -9, -9),
10 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
5 = 1, 1, 1,
11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
9 = 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
11 = 1, 3,
5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
18 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, (-9, -9, 0, 1, -9, -9),
S3 [3e ligne de
l’(auto)-description de S ci-dessus)] :
Rappel : la 3e ligne de S1 est : 1, 1, 1, 11, 14, 9, 17, 1, 19, 9,
3, 19, 7, 9, 19, 19, 19 <— 3e ligne et colonne verticale
jaune ici à gauche. = dessin du 5
1 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
11 = 1,
3, 5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
14 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 11, 13, 15, 11, 19, 1, 11, 5, 11, 9, 11, 13, 15,
17, 19, (-9, -9, 0, 1, -9, -9),
9 = 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
17 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
9 = 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
3 = 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
7 = 19, 1, 19,
5, 19, 9, 19, 13, 19, 17, 19, (-9, -9, 0, 1, -9, -9),
9 = 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9)
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9)
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9)
S4 [4e ligne de
l’(auto)-description de S ci-dessus)] :
Rappel : la 4e ligne de S1 est : 19, 1, 19, 5, 19, 9, 19, 13, 19,
17, 19 <— 4e ligne et
colonne verticale jaune ici à gauche. = dessin du 7
19 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, (-9, -9, 0, 1, -9, -9),
1 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
19 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, (-9, -9, 0, 1, -9, -9),
5 = 1, 1, 1,
11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, (-9, -9, 0, 1, -9, -9),
19 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, (-9, -9, 0, 1, -9, -9),
9 =
2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
13 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
17 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
S5 [5e ligne de
l’(auto)-description de S ci-dessus)] :
Rappel : la 5e ligne de S1 est : 2, 1, 1, 13, 17, 10, 1, 19, 10, 5,
19, 9, 11, 18, 15 <— 5e ligne
et colonne verticale jaune ici à gauche = dessin du 9
2 = 1, 17,
3, 19, 7, 1, 11, 19, 15, 17, 1, (-9, -9, 0, 1, -9, -9),
1 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
13 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
17 =
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19,
17, 19, (-9, -9, 0, 1, -9, -9),
10 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
1 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
10 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
5 = 1, 1, 1,
11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, (-9, -9, 0, 1, -9, -9),
19 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, (-9, -9, 0, 1, -9, -9),
9 = 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, (-9, -9, 0, 1, -9, -9),
11 = 1, 3,
5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (-9, -9, 0, 1, -9, -9),
18 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, (-9, -9, 0, 1, -9, -9),
15 = 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19,
19, (-9, -9, 0, 1, -9, -9),
Etc.
Note sur la graphie du 17 (et les virgules et les « blancs ») :
La fonte d’Erik et Martin Demaine fait que le
1 et le 7 de « 17 » ont l’air soudés. Nous avons momentanément réglé le
problème en intercalant un nombre négatif « au bon endroit » dans le
fichier de 17 (c’est un double -9) :
17 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19
En effet, le « plotter » de l’OEIS ne permet pas de ménager des « blancs » dans le « pin plot » ou le « scatterplot » d’une suite. Il faut donc ruser avec la mise en pages que ledit plotter impose – sans (trop) sacrifier à la lisibilité.
Il a fallu donc dessiner le signe moins qui précède ce 9 et en placer la description « aux bons endroits » des fichiers concernés (le moins est ici un quintuple 10).
Nous avons décidé en outre de séparer les nombres de la suite par des virgules – et ce par fidélité optique à la suite originale, telle qu’elle figure dans l’OEIS (la virgule est représentée ici par deux points d’ordonnées 0 et 1 respectivement).
Dans l’état actuel de nos réflexions, la suite S se présenterait comme ci-après (concaténation des lignes des cinq tableaux allant de S1 à S5 ci-dessus avec insertion de virgules, de signes moins et d’espaces « blancs » où il faut) :
S = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 2,
1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 1, 1, 11,
14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, -9, -9, 0, 1, -9, -9, 19, 1, 19,
5, 19, 9, 19, 13, 19, 17, 19, -9, -9, 0, 1, -9, -9, 2, 1, 1, 13, 17, 10, 1, 19,
10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11,
13, 15, 17, 19, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9,
-9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19,
7, 9, 19, 19, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9,
-9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15,
-9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5,
19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17,
10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11,
13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9,
11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1,
19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1,
1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 2, 1, 1,
10, 19, 1, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 17, 3, 19, 7, 1,
11, 19, 15, 17, 1, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9,
-9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1,
3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11,
18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13,
17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9,
11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, -9, -9, 0,
1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5,
19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3,
19, 7, 9, 19, 19, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 2,
1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3,
5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1,
-9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 10, 1, 19,
10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10,
10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9,
-9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 5, 2, 9, 11, 13,
1, 17, 1, 19, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10,
2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10,
10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9,
0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5,
7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11,
13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 11,
13, 15, 11, 19, 1, 11, 5, 11, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 2,
1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3,
5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19,
-9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9,
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, -9, -9, 0, 1, -9, -9, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11,
18, 15, -9, -9, 0, 1, -9, -9, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, -9,
-9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1,
19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 19, 1, 19, 5, 19, 9, 19,
13, 19, 17, 19, -9, -9, 0, 1, -9, -9, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1,
13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7,
9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15,
-9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10,
1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2,
1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10,
10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9,
0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 5, 2, 9,
11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10,
10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9,
-9, 10, 10, 10, 10, 10, 5, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19,
19, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13,
17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9,
11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2,
1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 1,
1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, -9, -9, 0, 1, -9, -9, 1,
3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11,
18, 15, -9, -9, 0, 1, -9, -9, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17,
10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11,
13, 15, 17, 19, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9,
-9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19,
9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9,
19, 1, 19, 5, 19, 9, 19, 13, 19, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9,
11, 13, 15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9,
-9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1,
19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15,
17, 19, -9, -9, 0, 1, -9, -9, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18,
15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10,
5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13,
17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 17, 3, 19, 7,
1, 11, 19, 15, 17, 1, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
-9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9,
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 2, 1, 1, 10, 19, 1, 10, 5, 19, 9, 11, 18, 15,
-9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 19, 1, 19, 5,
19, 9, 19, 13, 19, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9,
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13,
15, 17, 19, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1,
-9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5,
19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3,
19, 7, 9, 19, 19, 19, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 2,
1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3,
5, 7, 9, 11, 13, 15, 17, 19, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, -9, -9, 0, 1,
-9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 5, 2, 9, 11, 13, 1, 17, 10, 1, 19,
10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17,
19, 1, 1, 1, 11, 14, 9, 17, 1, 19, 9, 3, 19, 7, 9, 19, 19, 19, -9, -9, 0, 1,
-9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9, 11, 18,
15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10,
5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9, 1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
-9, -9, 0, 1, -9, -9, 5, 2, 9, 11, 13, 1, 17, 1, 19, 5, 19, 9, 11, 18, 15, -9,
-9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1, 19, 10, 5, 19, 9,
11, 18, 15, -9, -9, 0, 1, -9, -9, 10, 10, 10, 10, 10, 2, 1, 1, 13, 17, 10, 1,
19, 10, 5, 19, 9, 11, 18, 15, -9, -9, 0, 1, -9, -9,
Carole, à toi de jouer !
________________
Update du 14 août 2021
Carole joua (et corrigea le fichier ci-dessus de quelques erreurs) pour produire cette première image de la « suite se dessinant elle-même » :
Le taulier se rend compte que 95% du boulot a été fait : merci aux Demaine et à Carole, le reste sera bientôt placé entre les mains des administrateurs/correcteurs de l’OEIS – ce sera à eux de jouer ! La b-file avec 5000 termes, calculée par Carole, est tout en bas de cette page. ____________________
Update, August 16th, 2021
Erik & Martin Demaine have now designed an alphabet based on the same constraint! (no two dots sharing the same abscissa). What a marvel! Many thanks guys! We will try to use this wonder to produce a new sequence for the OEIS!
The 5000-term b-file for the OEIS "
Self-graph" sequence is hereunder:
1 1
2 3
3 5
4 7
5 9
6 11
7 13
8 15
9 17
10 19
11 -9
12 -9
13 0
14 1
15 -9
16 -9
17 2
18 1
19 1
20 10
21 19
22 1
23 10
24 5
25 19
26 9
27 11
28 18
29 15
30 -9
31 -9
32 0
33 1
34 -9
35 -9
36 1
37 1
38 1
39 11
40 14
41 9
42 17
43 1
44 19
45 9
46 3
47 19
48 7
49 9
50 19
51 19
52 19
53 -9
54 -9
55 0
56 1
57 -9
58 -9
59 19
60 1
61 19
62 5
63 19
64 9
65 19
66 13
67 19
68 17
69 19
70 -9
71 -9
72 0
73 1
74 -9
75 -9
76 2
77 1
78 1
79 13
80 17
81 10
82 1
83 19
84 10
85 5
86 19
87 9
88 11
89 18
90 15
91 -9
92 -9
93 0
94 1
95 -9
96 -9
97 1
98 3
99 5
100 7
101 9
102 11
103 13
104 15
105 17
106 19
107 1
108 3
109 5
110 7
111 9
112 11
113 13
114 15
115 17
116 19
117 -9
118 -9
119 0
120 1
121 -9
122 -9
123 1
124 3
125 5
126 7
127 9
128 11
129 13
130 15
131 17
132 19
133 2
134 1
135 1
136 10
137 19
138 1
139 10
140 5
141 19
142 9
143 11
144 18
145 15
146 -9
147 -9
148 0
149 1
150 -9
151 -9
152 1
153 3
154 5
155 7
156 9
157 11
158 13
159 15
160 17
161 19
162 1
163 1
164 1
165 11
166 14
167 9
168 17
169 1
170 19
171 9
172 3
173 19
174 7
175 9
176 19
177 19
178 19
179 -9
180 -9
181 0
182 1
183 -9
184 -9
185 1
186 3
187 5
188 7
189 9
190 11
191 13
192 15
193 17
194 19
195 -9
196 19
197 1
198 19
199 5
200 19
201 9
202 19
203 13
204 19
205 17
206 19
207 -9
208 -9
209 0
210 1
211 -9
212 -9
213 1
214 3
215 5
216 7
217 9
218 11
219 13
220 15
221 17
222 19
223 2
224 1
225 1
226 13
227 17
228 10
229 1
230 19
231 10
232 5
233 19
234 9
235 11
236 18
237 15
238 -9
239 -9
240 0
241 1
242 -9
243 -9
244 10
245 10
246 10
247 10
248 10
249 2
250 1
251 1
252 13
253 17
254 10
255 1
256 19
257 10
258 5
259 19
260 9
261 11
262 18
263 15
264 -9
265 -9
266 0
267 1
268 -9
269 -9
270 10
271 10
272 10
273 10
274 10
275 2
276 1
277 1
278 13
279 17
280 10
281 1
282 19
283 10
284 5
285 19
286 9
287 11
288 18
289 15
290 -9
291 -9
292 0
293 1
294 -9
295 -9
296 5
297 2
298 9
299 11
300 13
301 1
302 17
303 1
304 19
305 5
306 19
307 9
308 11
309 18
310 15
311 -9
312 -9
313 0
314 1
315 -9
316 -9
317 1
318 3
319 5
320 7
321 9
322 11
323 13
324 15
325 17
326 19
327 -9
328 -9
329 0
330 1
331 -9
332 -9
333 10
334 10
335 10
336 10
337 10
338 2
339 1
340 1
341 13
342 17
343 10
344 1
345 19
346 10
347 5
348 19
349 9
350 11
351 18
352 15
353 -9
354 -9
355 0
356 1
357 -9
358 -9
359 10
360 10
361 10
362 10
363 10
364 2
365 1
366 1
367 13
368 17
369 10
370 1
371 19
372 10
373 5
374 19
375 9
376 11
377 18
378 15
379 -9
380 -9
381 0
382 1
383 -9
384 -9
385 1
386 3
387 5
388 1
389 6
390 17
391 8
392 19
393 11
394 1
395 13
396 19
397 15
398 17
399 1
400 -9
401 -9
402 0
403 1
404 -9
405 -9
406 1
407 3
408 5
409 7
410 9
411 11
412 13
413 15
414 17
415 19
416 -9
417 -9
418 0
419 1
420 -9
421 -9
422 1
423 3
424 5
425 7
426 9
427 11
428 13
429 15
430 17
431 19
432 -9
433 -9
434 0
435 1
436 -9
437 -9
438 1
439 3
440 5
441 7
442 9
443 11
444 13
445 15
446 17
447 19
448 5
449 2
450 9
451 11
452 13
453 1
454 17
455 1
456 19
457 5
458 19
459 9
460 11
461 18
462 15
463 -9
464 -9
465 0
466 1
467 -9
468 -9
469 1
470 3
471 5
472 7
473 9
474 11
475 13
476 15
477 17
478 19
479 2
480 1
481 1
482 13
483 17
484 10
485 1
486 19
487 10
488 5
489 19
490 9
491 11
492 18
493 15
494 -9
495 -9
496 0
497 1
498 -9
499 -9
500 1
501 3
502 5
503 7
504 9
505 11
506 13
507 15
508 17
509 19
510 -9
511 -9
512 0
513 1
514 -9
515 -9
516 1
517 3
518 5
519 7
520 9
521 11
522 13
523 15
524 17
525 19
526 5
527 2
528 9
529 11
530 13
531 1
532 17
533 1
534 19
535 5
536 19
537 9
538 11
539 18
540 15
541 -9
542 -9
543 0
544 1
545 -9
546 -9
547 1
548 1
549 1
550 11
551 14
552 9
553 17
554 1
555 19
556 9
557 3
558 19
559 7
560 9
561 19
562 19
563 19
564 -9
565 -9
566 0
567 1
568 -9
569 -9
570 1
571 3
572 5
573 7
574 9
575 11
576 13
577 15
578 17
579 19
580 2
581 1
582 1
583 13
584 17
585 10
586 1
587 19
588 10
589 5
590 19
591 9
592 11
593 18
594 15
595 -9
596 -9
597 0
598 1
599 -9
600 -9
601 2
602 1
603 1
604 13
605 17
606 10
607 1
608 19
609 10
610 5
611 19
612 9
613 11
614 18
615 15
616 -9
617 -9
618 0
619 1
620 -9
621 -9
622 1
623 3
624 5
625 7
626 9
627 11
628 13
629 15
630 17
631 19
632 1
633 3
634 5
635 7
636 9
637 11
638 13
639 15
640 17
641 19
642 -9
643 -9
644 0
645 1
646 -9
647 -9
648 1
649 3
650 5
651 7
652 9
653 11
654 13
655 15
656 17
657 19
658 5
659 2
660 9
661 11
662 13
663 1
664 17
665 10
666 1
667 19
668 10
669 5
670 19
671 9
672 11
673 18
674 15
675 -9
676 -9
677 0
678 1
679 -9
680 -9
681 1
682 3
683 5
684 7
685 9
686 11
687 13
688 15
689 17
690 19
691 1
692 1
693 1
694 11
695 14
696 9
697 17
698 1
699 19
700 9
701 3
702 19
703 7
704 9
705 19
706 19
707 19
708 -9
709 -9
710 0
711 1
712 -9
713 -9
714 10
715 10
716 10
717 10
718 10
719 2
720 1
721 1
722 13
723 17
724 10
725 1
726 19
727 10
728 5
729 19
730 9
731 11
732 18
733 15
734 -9
735 -9
736 0
737 1
738 -9
739 -9
740 10
741 10
742 10
743 10
744 10
745 2
746 1
747 1
748 13
749 17
750 10
751 1
752 19
753 10
754 5
755 19
756 9
757 11
758 18
759 15
760 -9
761 -9
762 0
763 1
764 -9
765 -9
766 5
767 2
768 9
769 11
770 13
771 1
772 17
773 1
774 19
775 5
776 19
777 9
778 11
779 18
780 15
781 -9
782 -9
783 0
784 1
785 -9
786 -9
787 1
788 3
789 5
790 7
791 9
792 11
793 13
794 15
795 17
796 19
797 -9
798 -9
799 0
800 1
801 -9
802 -9
803 10
804 10
805 10
806 10
807 10
808 2
809 1
810 1
811 13
812 17
813 10
814 1
815 19
816 10
817 5
818 19
819 9
820 11
821 18
822 15
823 -9
824 -9
825 0
826 1
827 -9
828 -9
829 10
830 10
831 10
832 10
833 10
834 2
835 1
836 1
837 13
838 17
839 10
840 1
841 19
842 10
843 5
844 19
845 9
846 11
847 18
848 15
849 -9
850 -9
851 0
852 1
853 -9
854 -9
855 1
856 3
857 5
858 7
859 9
860 11
861 13
862 15
863 17
864 19
865 -9
866 -9
867 0
868 1
869 -9
870 -9
871 1
872 3
873 5
874 7
875 9
876 11
877 13
878 15
879 17
880 19
881 -9
882 -9
883 0
884 1
885 -9
886 -9
887 1
888 3
889 5
890 7
891 9
892 11
893 13
894 15
895 17
896 19
897 -9
898 -9
899 0
900 1
901 -9
902 -9
903 1
904 3
905 5
906 7
907 9
908 11
909 13
910 15
911 17
912 19
913 1
914 3
915 5
916 7
917 9
918 11
919 13
920 15
921 17
922 19
923 -9
924 -9
925 0
926 1
927 -9
928 -9
929 1
930 3
931 5
932 7
933 9
934 11
935 13
936 15
937 17
938 19
939 11
940 13
941 15
942 11
943 19
944 1
945 11
946 5
947 11
948 9
949 11
950 13
951 15
952 17
953 19
954 -9
955 -9
956 0
957 1
958 -9
959 -9
960 2
961 1
962 1
963 13
964 17
965 10
966 1
967 19
968 10
969 5
970 19
971 9
972 11
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4168 19
4169 19
4170 -9
4171 -9
4172 0
4173 1
4174 -9
4175 -9
4176 1
4177 3
4178 5
4179 7
4180 9
4181 11
4182 13
4183 15
4184 17
4185 19
4186 -9
4187 19
4188 1
4189 19
4190 5
4191 19
4192 9
4193 19
4194 13
4195 19
4196 17
4197 19
4198 -9
4199 -9
4200 0
4201 1
4202 -9
4203 -9
4204 1
4205 3
4206 5
4207 7
4208 9
4209 11
4210 13
4211 15
4212 17
4213 19
4214 2
4215 1
4216 1
4217 13
4218 17
4219 10
4220 1
4221 19
4222 10
4223 5
4224 19
4225 9
4226 11
4227 18
4228 15
4229 -9
4230 -9
4231 0
4232 1
4233 -9
4234 -9
4235 10
4236 10
4237 10
4238 10
4239 10
4240 2
4241 1
4242 1
4243 13
4244 17
4245 10
4246 1
4247 19
4248 10
4249 5
4250 19
4251 9
4252 11
4253 18
4254 15
4255 -9
4256 -9
4257 0
4258 1
4259 -9
4260 -9
4261 10
4262 10
4263 10
4264 10
4265 10
4266 2
4267 1
4268 1
4269 13
4270 17
4271 10
4272 1
4273 19
4274 10
4275 5
4276 19
4277 9
4278 11
4279 18
4280 15
4281 -9
4282 -9
4283 0
4284 1
4285 -9
4286 -9
4287 5
4288 2
4289 9
4290 11
4291 13
4292 1
4293 17
4294 1
4295 19
4296 5
4297 19
4298 9
4299 11
4300 18
4301 15
4302 -9
4303 -9
4304 0
4305 1
4306 -9
4307 -9
4308 1
4309 3
4310 5
4311 7
4312 9
4313 11
4314 13
4315 15
4316 17
4317 19
4318 -9
4319 -9
4320 0
4321 1
4322 -9
4323 -9
4324 10
4325 10
4326 10
4327 10
4328 10
4329 2
4330 1
4331 1
4332 13
4333 17
4334 10
4335 1
4336 19
4337 10
4338 5
4339 19
4340 9
4341 11
4342 18
4343 15
4344 -9
4345 -9
4346 0
4347 1
4348 -9
4349 -9
4350 10
4351 10
4352 10
4353 10
4354 10
4355 2
4356 1
4357 1
4358 13
4359 17
4360 10
4361 1
4362 19
4363 10
4364 5
4365 19
4366 9
4367 11
4368 18
4369 15
4370 -9
4371 -9
4372 0
4373 1
4374 -9
4375 -9
4376 1
4377 3
4378 5
4379 7
4380 9
4381 11
4382 13
4383 15
4384 17
4385 19
4386 -9
4387 -9
4388 0
4389 1
4390 -9
4391 -9
4392 1
4393 3
4394 5
4395 7
4396 9
4397 11
4398 13
4399 15
4400 17
4401 19
4402 -9
4403 -9
4404 0
4405 1
4406 -9
4407 -9
4408 1
4409 3
4410 5
4411 7
4412 9
4413 11
4414 13
4415 15
4416 17
4417 19
4418 -9
4419 -9
4420 0
4421 1
4422 -9
4423 -9
4424 1
4425 3
4426 5
4427 7
4428 9
4429 11
4430 13
4431 15
4432 17
4433 19
4434 1
4435 3
4436 5
4437 7
4438 9
4439 11
4440 13
4441 15
4442 17
4443 19
4444 -9
4445 -9
4446 0
4447 1
4448 -9
4449 -9
4450 1
4451 3
4452 5
4453 7
4454 9
4455 11
4456 13
4457 15
4458 17
4459 19
4460 11
4461 13
4462 15
4463 11
4464 19
4465 1
4466 11
4467 5
4468 11
4469 9
4470 11
4471 13
4472 15
4473 17
4474 19
4475 -9
4476 -9
4477 0
4478 1
4479 -9
4480 -9
4481 2
4482 1
4483 1
4484 13
4485 17
4486 10
4487 1
4488 19
4489 10
4490 5
4491 19
4492 9
4493 11
4494 18
4495 15
4496 -9
4497 -9
4498 0
4499 1
4500 -9
4501 -9
4502 1
4503 3
4504 5
4505 7
4506 9
4507 11
4508 13
4509 15
4510 17
4511 19
4512 -9
4513 19
4514 1
4515 19
4516 5
4517 19
4518 9
4519 19
4520 13
4521 19
4522 17
4523 19
4524 -9
4525 -9
4526 0
4527 1
4528 -9
4529 -9
4530 1
4531 3
4532 5
4533 7
4534 9
4535 11
4536 13
4537 15
4538 17
4539 19
4540 -9
4541 -9
4542 0
4543 1
4544 -9
4545 -9
4546 1
4547 3
4548 5
4549 7
4550 9
4551 11
4552 13
4553 15
4554 17
4555 19
4556 2
4557 1
4558 1
4559 13
4560 17
4561 10
4562 1
4563 19
4564 10
4565 5
4566 19
4567 9
4568 11
4569 18
4570 15
4571 -9
4572 -9
4573 0
4574 1
4575 -9
4576 -9
4577 2
4578 1
4579 1
4580 13
4581 17
4582 10
4583 1
4584 19
4585 10
4586 5
4587 19
4588 9
4589 11
4590 18
4591 15
4592 -9
4593 -9
4594 0
4595 1
4596 -9
4597 -9
4598 2
4599 1
4600 1
4601 10
4602 19
4603 1
4604 10
4605 5
4606 19
4607 9
4608 11
4609 18
4610 15
4611 -9
4612 -9
4613 0
4614 1
4615 -9
4616 -9
4617 1
4618 3
4619 5
4620 7
4621 9
4622 11
4623 13
4624 15
4625 17
4626 19
4627 2
4628 1
4629 1
4630 13
4631 17
4632 10
4633 1
4634 19
4635 10
4636 5
4637 19
4638 9
4639 11
4640 18
4641 15
4642 -9
4643 -9
4644 0
4645 1
4646 -9
4647 -9
4648 19
4649 1
4650 19
4651 5
4652 19
4653 9
4654 19
4655 13
4656 19
4657 17
4658 19
4659 -9
4660 -9
4661 0
4662 1
4663 -9
4664 -9
4665 2
4666 1
4667 1
4668 13
4669 17
4670 10
4671 1
4672 19
4673 10
4674 5
4675 19
4676 9
4677 11
4678 18
4679 15
4680 -9
4681 -9
4682 0
4683 1
4684 -9
4685 -9
4686 1
4687 3
4688 5
4689 7
4690 9
4691 11
4692 13
4693 15
4694 17
4695 19
4696 2
4697 1
4698 1
4699 13
4700 17
4701 10
4702 1
4703 19
4704 10
4705 5
4706 19
4707 9
4708 11
4709 18
4710 15
4711 -9
4712 -9
4713 0
4714 1
4715 -9
4716 -9
4717 1
4718 3
4719 5
4720 7
4721 9
4722 11
4723 13
4724 15
4725 17
4726 19
4727 2
4728 1
4729 1
4730 13
4731 17
4732 10
4733 1
4734 19
4735 10
4736 5
4737 19
4738 9
4739 11
4740 18
4741 15
4742 -9
4743 -9
4744 0
4745 1
4746 -9
4747 -9
4748 1
4749 3
4750 5
4751 7
4752 9
4753 11
4754 13
4755 15
4756 17
4757 19
4758 2
4759 1
4760 1
4761 13
4762 17
4763 10
4764 1
4765 19
4766 10
4767 5
4768 19
4769 9
4770 11
4771 18
4772 15
4773 -9
4774 -9
4775 0
4776 1
4777 -9
4778 -9
4779 10
4780 10
4781 10
4782 10
4783 10
4784 2
4785 1
4786 1
4787 13
4788 17
4789 10
4790 1
4791 19
4792 10
4793 5
4794 19
4795 9
4796 11
4797 18
4798 15
4799 -9
4800 -9
4801 0
4802 1
4803 -9
4804 -9
4805 10
4806 10
4807 10
4808 10
4809 10
4810 2
4811 1
4812 1
4813 13
4814 17
4815 10
4816 1
4817 19
4818 10
4819 5
4820 19
4821 9
4822 11
4823 18
4824 15
4825 -9
4826 -9
4827 0
4828 1
4829 -9
4830 -9
4831 5
4832 2
4833 9
4834 11
4835 13
4836 1
4837 17
4838 1
4839 19
4840 5
4841 19
4842 9
4843 11
4844 18
4845 15
4846 -9
4847 -9
4848 0
4849 1
4850 -9
4851 -9
4852 1
4853 3
4854 5
4855 7
4856 9
4857 11
4858 13
4859 15
4860 17
4861 19
4862 -9
4863 -9
4864 0
4865 1
4866 -9
4867 -9
4868 10
4869 10
4870 10
4871 10
4872 10
4873 2
4874 1
4875 1
4876 13
4877 17
4878 10
4879 1
4880 19
4881 10
4882 5
4883 19
4884 9
4885 11
4886 18
4887 15
4888 -9
4889 -9
4890 0
4891 1
4892 -9
4893 -9
4894 10
4895 10
4896 10
4897 10
4898 10
4899 2
4900 1
4901 1
4902 13
4903 17
4904 10
4905 1
4906 19
4907 10
4908 5
4909 19
4910 9
4911 11
4912 18
4913 15
4914 -9
4915 -9
4916 0
4917 1
4918 -9
4919 -9
4920 1
4921 3
4922 5
4923 7
4924 9
4925 11
4926 13
4927 15
4928 17
4929 19
4930 -9
4931 -9
4932 0
4933 1
4934 -9
4935 -9
4936 2
4937 1
4938 1
4939 10
4940 19
4941 1
4942 10
4943 5
4944 19
4945 9
4946 11
4947 18
4948 15
4949 -9
4950 -9
4951 0
4952 1
4953 -9
4954 -9
4955 1
4956 1
4957 1
4958 11
4959 14
4960 9
4961 17
4962 1
4963 19
4964 9
4965 3
4966 19
4967 7
4968 9
4969 19
4970 19
4971 19
4972 -9
4973 -9
4974 0
4975 1
4976 -9
4977 -9
4978 19
4979 1
4980 19
4981 5
4982 19
4983 9
4984 19
4985 13
4986 19
4987 17
4988 19
4989 -9
4990 -9
4991 0
4992 1
4993 -9
4994 -9
4995 2
4996 1
4997 1
4998 13
4999 17
5000 10
Ah oui ! Très jolies les lettres ! Bravo Eric et Martin !
RépondreSupprimerIl faudrait donc coder les colonnes de ces caractères en A, B, C, etc. pour obtenir une nouvelle suite auto-référente ?