Alexa is upset
FIVE, FOURTEEN,
FIFTY, TEN, ONE, TWENTYONE,
SIXTY, FORTYTWO, SEVENTY,
FOURHUNDRED, FOUR, TWENTY, FORTY, TWO, FIFTYFIVE, NINE, TWENTYNINE, SIXTEEN, ELEVEN,
TWELVE, SIX, TWENTYSEVEN, TWENTYSIX, THIRTYEIGHT, FORTYSIX, TWENTYTHREE, TWENTYTWO,
FORTYTHREE, THIRTYNINE, FORTYONE, FIFTYTWO, FORTYNINE, FORTYEIGHT, EIGHTYFIVE, ONEHUNDREDNINE,
TWENTYFOUR, ...
–Alexa, spell the 1st
word of the sentence
FIVE
–Alexa, copy hereunder
the 5th letter of the sentence
F
–Alexa, spell the next
word of the sentence
FOURTEEN
–Alexa, copy hereunder
the 14th letter of the sentence
I
–Alexa, spell the next
word of the sentence
FIFTY
–Alexa, copy hereunder
the 50th letter of the sentence
V
–Alexa, spell the next
word of the sentence
TEN
–Alexa, copy hereunder
the 10th letter of the sentence
E
...
[At the end of the
process, Alexa will have reproduced one by one all the letters of the sentence
itself, in their exact order.
The sentence above
is the lexicographically earliest of distinct positive terms with this property
– if written in numbers, of course:
5,14,50,10,1,21,60,42,70,400,4,20,40,2,55,9,29,16,11,12,6,27,26,38,46,23,22,43,39,41,52,49,85,109,24,...]
–Alexa, are you
happy?
YES AND NO
–Alexa, why are you
not 100% happy?
BECAUSE I
CAN BEAT YOUR SENTENCE
–Alexa, show me the
sentence that beats mine
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,...
–Alexa stop. Are
you serious?
–YES, LOOK
AT THE WORDS NOW:
ONE,TWO,THREE,FOUR,FIVE,SIX,SEVEN,EIGHT,NINE,TEN,ELEVEN,TWELVE,THIRTEEN,...
–AND HERE IS
THE SAME STUPID DIALOGUE WE HAD, BUT WITH MY VERSION:
~~Alexa, spell the 1st word of the sentence
ONE
~~Alexa, copy hereunder the 1st letter of
the sentence
O
~~Alexa, spell the next word of the sentence
TWO
~~Alexa, copy hereunder the 2nd letter of
the sentence
N
~~Alexa, spell the next word of the sentence
THREE
~~Alexa, copy hereunder the 3rd letter of
the sentence
E
~~Alexa, spell the next word of the sentence
FOUR
~~Alexa, copy hereunder the 4th letter of
the sentence
T
~~Alexa, spell the next word of the sentence
FIVE
~~Alexa, copy hereunder the 5th letter of
the sentence
W
~~Alexa, spell the next word of the sentence
SIX
~~Alexa, copy hereunder the 6th letter of
the sentence
O...
–Alexa stop. I
think I get it... Let me see... I must add a new rule... Yes: You, Alexa,
cannot copy a letter from a word to rebuild the same word! You cannot use the O
of ONE to recreate ONE, for instance. You’ll have to find another O, elsewhere
– in two, four, fourteen, twenty-two, etc.
–Alexa, alright? Does my opening sequence beat all others, now?
ASK TO SEQFANS IF YOUR OPENING SENTENCE IS CORRECT. AND IF IT IS TRUELY THE LEXICO-FIRST WITH THIS PROPERTY. I HAVE MY DOUBTS.
ASK TO SEQFANS IF YOUR OPENING SENTENCE IS CORRECT. AND IF IT IS TRUELY THE LEXICO-FIRST WITH THIS PROPERTY. I HAVE MY DOUBTS.
____________________
This "only numbers and digits" version, checked by Lars Blomberg, is the lexico-first of this kind: https://oeis.org/A308387
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