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a(n) is the number of free 'polyominoes' on the (4.8.8) grid with n octagons and n squares.
1

%I #33 Mar 05 2024 07:13:40

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

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

%C This sequence enumerates a subset of the polyforms enumerated by A343577. - _John Mason_, Jan 15 2023

%H John Mason, <a href="/A057707/a057707.jpg">Illustration for n = 2</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_square_tiling">Truncated square tiling</a>.

%H Livio Zucca, <a href="http://www.iread.it/lz/polymultiforms2.html">PolyMultiForms</a>

%Y Cf. A343577.

%K nonn,nice,more

%O 1,2

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

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

%E a(6)-a(8) from _John Mason_, Jan 15 2023

%E a(9) from _John Mason_, Mar 01 2023