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%I #18 Jan 13 2023 09:10:31
%S 1,3,8,25,80,291,1036,3875,14561,55624,213951,830712,3244355,12747718,
%T 50320659
%N Number of free poly-[3^4.6]-tiles (holes allowed) with n cells.
%D Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 2.7, 6.2 and 9.4.
%H Peter Kagey, <a href="/A197159/a197159.pdf">Example illustrating that a(3) = 8</a>.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_trihexagonal_tiling#Floret_pentagonal_tiling">Floret pentagonal tiling</a>
%Y Cf. A197160.
%Y Analogous for other tilings: A000105 (square), A000228 (hexagonal), A000577 (triangular), A197156 (prismatic pentagonal), A197459 (rhombille), A197462 (kisrhombille), A197465 (tetrakis square), A309159 (snub square), A343398 (trihexagonal), A343406 (truncated hexagonal), A343577 (truncated square).
%K hard,nonn
%O 1,2
%A _Joseph Myers_, Oct 10 2011