A395873 Number of oriented polyominoes in the {5,4} tessellation of the hyperbolic plane.

1, 1, 2, 12, 47, 267, 1447, 8590, 51682, 321146, 2029853

Offset

1,3

Comments

For oriented polyominoes, chiral pairs are counted as two.

Links

Table of n, a(n) for n=1..11.

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=4. *)

Crossrefs

Cf. A005038, A330211, A394862.

Sequence in context: A389326 A319763 A320684 * A069946 A176684 A216152

Adjacent sequences: A395870 A395871 A395872 * A395874 A395875 A395876

Keyword

nonn,more

Author

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

Status

approved