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.

A345076 Number of generalized polyforms on the elongated triangular tiling with n cells.

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%I A345076 #17 Jun 06 2025 05:30:03
%S A345076 1,2,3,5,13,32,96,283,907,2929,9787,32939,112476,386230,1336150,
%T A345076 4642930,16208851,56786242,199614651,703678568,2487109359,8811020024,
%U A345076 31281360326,111272475650
%N A345076 Number of generalized polyforms on the elongated triangular tiling with n cells.
%C A345076 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 A345076 Peter Kagey, <a href="/A345076/a345076.pdf">The a(3) = 5 generalized polyforms on the elongated triangular tiling with 3 cells</a>.
%H A345076 Wikipedia, <a href="https://en.wikipedia.org/wiki/Elongated_triangular_tiling">Elongated Triangular Tiling</a>
%e A345076 See the PDF in the links section.
%Y A345076 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).
%K A345076 nonn,more
%O A345076 0,2
%A A345076 _Drake Thomas_, Jun 07 2021
%E A345076 a(15)-a(23) from _Bert Dobbelaere_, Jun 05 2025