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Number of free polyominoes in the {7,6} tessellation of the hyperbolic plane.
5

%I #9 Mar 07 2026 04:37:05

%S 1,1,3,16,112,1020,10209,109673,1225914,14137194,166972947,2011515207

%N Number of free polyominoes in the {7,6} tessellation of the hyperbolic plane.

%F 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=6 and P{p,oo} = A005419.

%Y Cf. A333018, A393734, A393735, A393737, A393738, A005419.

%K nonn,more

%O 1,3

%A _John Mason_, Érika Roldán, and Rosemberg Toalá-Enríquez, Mar 01 2026