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%I #8 Mar 01 2026 11:18:51
%S 1,1,2,8,33,194,1196,8196,58129,427798,3221282,24753296,193308187
%N Number of free polyominoes in the {5,8} 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=5, q=8 and P{p,oo} = A005040.
%Y Cf. A330211, A393725, A393726, A393727, A005040.
%K nonn,more
%O 1,3
%A _John Mason_, Érika Roldán, and Rosemberg Toalá-Enríquez, Feb 26 2026