A333018 Number of free heptagonal polyforms with n cells on the heptagonal tiling of the hyperbolic plane.

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

Offset: 0

Author

Peter Kagey, Mar 05 2020

Keywords

• nonn
• more
• hard

Comments

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

This sequence is to A259352 what A000228 is to A108070.

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, Heptagonal tiling
• Wikipedia, Polyform

Crossrefs

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}).

Cf. A108070, A259352.

Extensions

a(9)-a(12) from Ed Wynn, Feb 14 2021