RE : problem with Jeux de suites in A139334

[Eric Angelini]

Hello Richard and SeqFans,
 
[You, Richard]
> The problem that arises is: the next difference, a139334(12)
requires a leading 0 to match the final 0 in a(8)=340; this 
cannot be included in the OEIS.

[Me]
... yes, an integer with a leading 0 is forbidden in the OEIS --
this means that one has to find the smallest number not producing
an integer having a leading zero -- but still fulfilling the other
criterias, which are:
- concatenation of digits (of S) is the same string as concatenation
of digits of S's first differences,
- and sequence S and first differences of S have no term in common. 
 
If you put 34 (in the "first differences" seq A139334) the problem
arises, as you mention; so put 3403 instead, et voilà !:
 
[You]
2, 24, 28, 311, 312, 325, 337, 340, 365, 398, 405, 439,...
with the first differences A139334:
 22, 4, 283,  1,  13,  12,   3,   25,  33,   7,  34,...

[Me]
2, 24, 28, 311, 312, 325, 337, 340, 365, 398, 405,   3808,...
with the first differences A139334:
 22, 4, 283,  1,  13,  12,   3,   25,  33,   7,  3403,...
 
Best,
Eric A.

 
________________________________

De: Richard Mathar [mailto:mathar at strw.leidenuniv.nl]
Date: ven. 18/07/2008 21:12
À: seqfan at ext.jussieu.fr
Objet : problem with Jeux de suites in A139334




If the sequence A139334 is continued following the rules in the definition, we get:
2, 24, 28, 311, 312, 325, 337, 340, 365, 398, 405, 439,...
with the first differences A139334:
 22, 4, 283,  1,  13,  12,   3,   25,  33,   7,  34,..
The problem that arises is: the next difference, a139334(12) requires a leading 0
to match the final 0 in a(8)=340; this cannot be included in the OEIS.

I have no access to the Angelini article and cannot say how it works around that
case.

Richard


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