A393738 Number of free polyominoes in the {7,8} tessellation of the hyperbolic plane.

1, 1, 3, 16, 112, 1020, 10222, 109947, 1230822, 14218202, 168246874, 2030964214, 24928466735

Offset

1,3

Links

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

Formula

a(n) = P{p,q}(n) (the number of {p,q} polyominoes of size n) is equal to P{p,oo}(n) for n <= q; also P{p,q}(q+1) = P{p,oo}(q+1) + floor((p-1)/2) - floor((3+q(p-2))/2). In this case, p=7, q=8 and P{p,oo} = A005419.

Crossrefs

Cf. A333018, A393734, A393735, A393736, A393737, A005419.

Sequence in context: A393735 A393736 A393737 * A005419 A379193 A390715

Adjacent sequences: A393735 A393736 A393737 * A393739 A393740 A393741

Keyword

nonn,more

Author

John Mason, Érika Roldán, and Rosemberg Toalá-Enríquez, Mar 01 2026

Status

approved