A395871 Number of oriented polyominoes in the {4,7} tessellation of the hyperbolic plane.

1, 1, 2, 7, 25, 108, 492, 2418, 12240, 64058, 342192, 1863319, 10298447, 57673979, 326628929, 1868216994

Offset

1,3

Comments

For oriented polyominoes, chiral pairs are counted as two.

Links

Table of n, a(n) for n=1..16.

Wiki page indexing sequences related to non-euclidean polyforms

Formula

a(n) = P{p,q}(n) (the number of oriented {p,q} polyominoes of size n) is equal to P{p,oo}(n) for n <= q. In this case, P{p,oo} = A005034.

Mathematica

(* Cf. A394862 with p=4 and q=7. *)

Crossrefs

Cf. A005034, A393723, A394862.

Sequence in context: A150532 A074420 A395870 * A395872 A005034 A350796

Adjacent sequences: A395868 A395869 A395870 * A395872 A395873 A395874

Keyword

nonn,more

Author

John Mason, Érika Roldán, and Rosemberg Toalá-Enríquez, May 10 2026

Status

approved