[seqfan] Re: apparently unique infinite sequences related to the sum of divisors

Vladimir Shevelev 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.

Best regards,
Vladimir


________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Max Alekseyev [maxale at gmail.com]
Sent: 09 July 2015 20:21
To: seqfaneu
Subject: [seqfan] apparently unique infinite sequences related to the sum of    divisors

SeqFans,

I'd like to draw your attention to two newly added nice sequences:

http://oeis.org/A259934
http://oeis.org/A259935

Comments are welcome.

Regards,
Max

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