Polyhexes with holes: A038144 and A057210

[Joseph S. Myers]

On Sat, 23 Aug 2003, Jeremy Gardiner wrote:

> It may be a coincidence (if there is such a thing in mathematics!) but
> compare
> parity of A057210 = 0,0,0,0,0,1,0,1,1,0,1,1,0,0,1, and
> parity of A064726 = 0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,1,0,1,1,1, ...
> (Sum of primes dividing the partitions of n into distinct parts, with
> repetition) ?

There are enough sequences in OEIS that you'd expect a coincidence of
parity based on only 15 terms.  The next four terms of A057210 (on my web
page referenced by the sequence but not yet submitted as an extension
since computations to extend these sequences further are ongoing) all have
parity 1, so the coincidence doesn't continue.

-- 
Joseph S. Myers
jsm28 at cam.ac.uk