A057707 a(n) is the number of free 'polyominoes' on the (4.8.8) grid with n octagons and n squares.

1, 8, 80, 1296, 22601, 426305, 8340302, 167925635, 3453618607

Offset

1,2

Comments

This sequence enumerates a subset of the polyforms enumerated by A343577. - John Mason, Jan 15 2023

Links

Table of n, a(n) for n=1..9.

John Mason, Illustration for n = 2

Wikipedia, Truncated square tiling.

Livio Zucca, PolyMultiForms

Crossrefs

Cf. A343577.

Sequence in context: A097815 A002718 A222825 * A222671 A271443 A347768

Adjacent sequences: A057704 A057705 A057706 * A057708 A057709 A057710

Keyword

nonn,nice,more

Author

Warren Power (wjpnply(AT)hotmail.com), Oct 24 2000

Extensions

Better description from Larry Reeves (larryr(AT)acm.org), Nov 30 2000

a(6)-a(8) from John Mason, Jan 15 2023

a(9) from John Mason, Mar 01 2023

Status

approved