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Number of polyominoes with n cells on the order-6 square tiling of the hyperbolic plane.
2

%I #21 Feb 17 2021 02:07:38

%S 1,1,1,2,5,16,60,255,1193,5862,29875,155995,830539,4489352,24581675

%N Number of polyominoes with n cells on the order-6 square tiling of the hyperbolic plane.

%C The order-6 square tiling has Schläfli symbol {4,6}.

%C This sequence is computed from via program by _Christian Sievers_ in the Code Golf Stack Exchange link.

%H Code Golf Stack Exchange, <a href="https://codegolf.stackexchange.com/a/200295/53884">Impress Donald Knuth by counting polyominoes on the hyperbolic plane</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Order-6_square_tiling">Order-6 square tiling</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>

%o Several programs are available via the Code Golf link.

%Y Analogs with different Schläfli symbols are A000105 ({4,4}), A000207 ({3,oo}), A000577 ({3,6}), A005036 ({4,oo}), A119611 ({4,5}), and A330659 ({3,7}).

%K nonn,more,hard

%O 0,4

%A _Peter Kagey_, Mar 02 2020

%E a(9)-a(14) from _Ed Wynn_, Feb 16 2021