A395876 Number of oriented polyominoes in the {5,7} tessellation of the hyperbolic plane.

1, 1, 2, 12, 57, 366, 2340, 16233, 115663, 851605, 6407446, 49163676, 383267108

Offset

1,3

Comments

For oriented polyominoes, chiral pairs are counted as two.

Links

Table of n, a(n) for n=1..13.

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} = A005038.

Mathematica

(* Cf. A394862 with p=5 and q=7. *)

Crossrefs

Cf. A005038, A393727, A394862.

Sequence in context: A177782 A395874 A395875 * A395877 A005038 A094780

Adjacent sequences: A395873 A395874 A395875 * A395877 A395878 A395879

Keyword

nonn,more

Author

John Mason, Érika Roldán, and Rosemberg Toalá-Enríquez, May 14 2026

Status

approved