extending ill-defined sequences

Ralf Stephan ralf at ark.in-berlin.de
Fri Aug 6 08:50:30 CEST 2004


David Wasserman:
>..., we need a number that is congruent to 3 mod 6, but coprime
> to 3, which is impossible.  So to continue the sequence, we have to
> backtrack and change the 41 (perhaps to 43).  I could decide that I am
> finding the lexicographically minimal sequence that fits the
> constraints, but that seems rather arbitrary, and not necessarily
> consistent with the sequence author's intentions.  
>     Any suggestions?

What does the author say? If there is no answer, I'd drop it.
There are enough non-arbitrary sequences in the literature 
(even back from Ramanujan) that are not in the EIS.


ralf






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