A332930 -id:A332930 - cp's OEIS frontend

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

Peter Kagey, Mar 05 2020

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.

Code Golf Stack Exchange, Impress Donald Knuth by counting polyominoes on the hyperbolic plane
Wikipedia, Heptagonal tiling
Wikipedia, Polyform

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.

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

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

Original entry on oeis.org

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

Offset: 0

Peter Kagey, Mar 05 2020

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.

Code Golf Stack Exchange, Impress Donald Knuth by counting polyominoes on the hyperbolic plane
Wikipedia, Order-4 pentagonal tiling
Wikipedia, Polyform

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}).

C
```
// See the Code Golf link.
```
GAP
```
# See the Code Golf link.
```
bc
```
# See the Code Golf link.
```

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

cp's OEIS Frontend

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

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