A330211 Number of free pentagonal polyforms with n cells on the order-4 pentagonal tiling of the hyperbolic plane.

1, 1, 1, 2, 8, 28, 143, 747, 4346, 25974, 160869, 1015723, 6531611, 42592880

Offset

0,4

Comments

The order-4 pentagonal tiling of the hyperbolic plane has Schläfli symbol {5,4}.

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..13.

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

Wikipedia, Order-4 pentagonal tiling

Wikipedia, Polyform

Prog

Several programs are available via the Code Golf link.

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}), A332930 ({4,6}), and A333018 ({7,3}).

Sequence in context: A150731 A150732 A225689 * A216785 A261559 A061230

Adjacent sequences: A330208 A330209 A330210 * A330212 A330213 A330214

Keyword

nonn,hard,more

Author

Peter Kagey, Mar 05 2020

Extensions

a(8)-a(13) from Ed Wynn, Feb 16 2021

Status

approved