[seqfan] Re: apparently unique infinite sequences related to the sum of divisors
shevelev at bgu.ac.il
Fri Jul 17 10:46:35 CEST 2015
I submitted infinitary analogs of A259934 and A259935:
A260084, A260124, A260085 and A260123.
The infinitary case is interesting because here we have at least
two analogs of sequences A259934, A259935 (respectively
A260084, A260124 and A260085, A260123).
It is a corollary of the fact that all terms
of A037445 (number of i-divisors), except for n=1, are even
(powers of 2). Therefore, in the analogs of A259934 we can
begin not only with 0,2 (as in A260084), but also with 0,1
(as in A260124), such that A260084 contains only the even
terms, while A260124 - only the odd ones.
Note that for each of the new 4 sequences,
the proof by Falcao works.
I hope that Robert (having an excellent program in A259934)
or anyone another can extend these sequences and create b-files.
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Max Alekseyev [maxale at gmail.com]
Sent: 09 July 2015 20:21
Subject: [seqfan] apparently unique infinite sequences related to the sum of divisors
I'd like to draw your attention to two newly added nice sequences:
Comments are welcome.
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