A393742 Number of free polyominoes in the {8,6} tessellation of the hyperbolic plane.

1, 1, 4, 21, 183, 1918, 22892, 290123, 3836377, 52291348, 730272739

Offset

1,3

Links

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

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=8, q=6 and P{p,oo} = A389937.

Crossrefs

Cf. A393739, A393740, A393741, A393743, A393744, A389937.

Sequence in context: A231220 A231434 A393741 * A393743 A393744 A389937

Adjacent sequences: A393739 A393740 A393741 * A393743 A393744 A393745

Keyword

nonn,more

Author

John Mason, Érika Roldán, and Rosemberg Toalá-Enríquez, Mar 02 2026

Status

approved