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.
%I A344213 #24 Jun 07 2025 08:20:23 %S A344213 1,3,3,14,50,261,1397,8364,50643,315512,1984853,12619579,80802300, %T A344213 520724842,3373646060,21959949924,143527242317 %N A344213 Number of generalized polyforms on the truncated trihexagonal tiling with n cells. %C A344213 This sequence counts "free" polyforms where holes are allowed. This means that two polyforms are considered the same if one is a rigid transformation (translation, rotation, reflection or glide reflection) of the other. %H A344213 Peter Kagey, <a href="/A344213/a344213.pdf">Illustration of a(3) = 14</a>. %H A344213 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_trihexagonal_tiling">Truncated trihexagonal tiling</a> %Y A344213 Analogous for other tilings: A000105 (square), A000228 (hexagonal), A000577 (triangular), A197156 (prismatic pentagonal), A197159 (floret pentagonal), A197459 (rhombille), A197462 (kisrhombille), A197465 (tetrakis square), A309159 (snub square), A343398 (trihexagonal), A343406 (truncated hexagonal), A343577 (truncated square), A344211 (rhombitrihexagonal). %K A344213 nonn,hard,more %O A344213 0,2 %A A344213 _Peter Kagey_, May 11 2021 %E A344213 a(10)-a(16) from _Bert Dobbelaere_, Jun 07 2025