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Number of free heptagonal polyforms with n cells on the heptagonal tiling of the hyperbolic plane.
1

%I #24 Feb 15 2021 01:56:58

%S 1,1,1,3,10,44,249,1513,9992,68305,480748,3450793,25186583

%N Number of free heptagonal polyforms with n cells on the heptagonal tiling of the hyperbolic plane.

%C The heptagonal tiling is represented by Schläfli symbol {7,3}.

%C This sequence is to A259352 what A000228 is to A108070.

%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/Heptagonal_tiling">Heptagonal tiling</a>

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

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

%Y Analogs with different Schläfli symbols are A000105 ({4,4}), A000207 ({3,oo}), A000228 ({6,3}), A000577 ({3,6}), A005036 ({4,oo}), A119611 ({4,5}), A330659 ({3,7}), and A332930 ({4,6}).

%Y Cf. A108070, A259352.

%K nonn,more,hard

%O 0,4

%A _Peter Kagey_, Mar 05 2020

%E a(9)-a(12) from _Ed Wynn_, Feb 14 2021