A332930 Number of polyominoes with n cells on the order-6 square tiling of the hyperbolic plane.

1, 1, 1, 2, 5, 16, 60, 255, 1193, 5862, 29875, 155995, 830539, 4489352, 24581675, 136082146, 760614012

Offset

0,4

Comments

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

This sequence is computed from via program by Christian Sievers in the Code Golf Stack Exchange link.

Links

Table of n, a(n) for n=0..16.

Code Golf Stack Exchange, Impress Donald Knuth by counting polyominoes on the hyperbolic plane

Wikipedia, Order-6 square tiling

Wikipedia, Polyomino

Crossrefs

Analogs with different Schläfli symbols are A000105 ({4,4}), A000207 ({3,oo}), A000577 ({3,6}), A005036 ({4,oo}), A119611 ({4,5}), A330659 ({3,7}), A393723 ({4,7}), and A393724 ({4,8}).

Sequence in context: A331826 A301306 A352617 * A374543 A000764 A205486

Adjacent sequences: A332927 A332928 A332929 * A332931 A332932 A332933

Keyword

nonn,more,hard

Author

Peter Kagey, Mar 02 2020

Extensions

a(9)-a(14) from Ed Wynn, Feb 16 2021

a(15)-a(16) from John Mason, Feb 26 2026

Status

approved