cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A197159 Number of free poly-[3^4.6]-tiles (holes allowed) with n cells.

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%I A197159 #21 Jun 02 2025 12:19:49
%S A197159 1,3,8,25,80,291,1036,3875,14561,55624,213951,830712,3244355,12747718,
%T A197159 50320659,199491045,793754027,3168756843,12687184463,50932363171
%N A197159 Number of free poly-[3^4.6]-tiles (holes allowed) with n cells.
%D A197159 Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 2.7, 6.2 and 9.4.
%H A197159 Peter Kagey, <a href="/A197159/a197159.pdf">Example illustrating that a(3) = 8</a>.
%H A197159 Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_trihexagonal_tiling#Floret_pentagonal_tiling">Floret pentagonal tiling</a>
%Y A197159 Cf. A197160.
%Y A197159 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 A197159 hard,nonn
%O A197159 1,2
%A A197159 _Joseph Myers_, Oct 10 2011
%E A197159 a(16)-a(20) from _Bert Dobbelaere_, Jun 02 2025