Polyhexes with holes: A038144 and A057210

Joseph S. Myers jsm28 at cam.ac.uk
Tue Aug 26 19:30:00 CEST 2003


On Sat, 23 Aug 2003, Ralf Stephan wrote:

> Sorry but: perhaps this one should be counted in A057210 but not in A038144?
> Unfortunately, with n=10 this would make the last entry different!

Indeed, and it wouldn't explain the reference to n=15 being where
"di-circulenes" appear either.

Sequences for polyhexes with 1, 2, 3, ... holes would be reasonable to add
to OEIS if someone wants to calculate them (along the lines of the current
sequences A057418-A057420 for polyominoes with one hole; for some reason
the sequences from <http://www.ieeta.pt/~tos/animals/a44.html> for 2-6
holes don't seem to be in OEIS).  But the description (and the given term
for n=10, as you point out) in the referenced paper for A038144 doesn't
seem to match the simple case of polyhexes with one hole.

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






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