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

Offset: 0

Author

Peter Kagey, Mar 02 2020

Keywords

• nonn
• more
• hard

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

• 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}), and A330659 ({3,7}).

Extensions

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