[seqfan] Re: Observation on the parity of A171791 and A233312

[Jeremy Gardiner]

Joergen,

Thank you for this interesting result, and for taking the time to pick your
way through the sequence definitions!

I also observe that (allowing for initial terms) A261668 appears to have the
same parity as A233312 (499 terms from b-file).
 
Regarding your sequence A267508 for Vladimir's C(n), this appears to have
the same parity as A085405 and A218031, suggesting these may be related
sequences.

Best regards,
Jeremy

------ Forwarded Message
From: Joergen Backelin <joeb at math.su.se>
Reply-To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Date: Thu, 14 Jan 2016 23:15:30 +0100 (CET)
To: <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Observation on the parity of A171791 and A233312

Jeremy,

according to the comments for A171791 by
Sean Irvine (and a careful reading
of the
definitions), the equivalence

(0) A23312(n) is even iff A171791(n+1) is odd
holds for at least the
first 1028 terms. The reason, put very briefly,
is
that

(1) A233312(n) is even if and only if n is the double of a "fibbinary
number".

[...]