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 A385277 #9 Jun 26 2025 01:16:38 %S A385277 1,1,2,3,11,30,137,606,3243,17681,101718,593931,3532385,21220273, %T A385277 128680158,785895888,4830179751,29847223514 %N A385277 Number of face-connected components of triangular prismatic cells in the triangular prismatic honeycomb up to translation, rotation, and reflection of the honeycomb. %C A385277 These are "free polyforms" because they are counted up to rotation and reflection. %C A385277 The triangular prismatic honeycomb is dual to the hexagonal prismatic honeycomb. %H A385277 Peter Kagey, <a href="/A385277/a385277.gif">Animation illustrating the a(5)=30 connected 5-cell components</a>. %H A385277 Wikipedia, <a href="https://en.wikipedia.org/wiki/Triangular_prismatic_honeycomb">Triangular prismatic honeycomb</a> %Y A385277 Cf. A038119 (cubic), A038173 (rhombic dodecahedral), A038181 (truncated octahedral), A343909 (tetrahedral-octahedral), A365654 (square bipyramidal), A384254 (rectified cubic), A384274 (quarter cubic), A384754 (omnitruncated cubic), A385024 (tetragonal disphenoidal), A385025 (gyrobifastigium), A385026 (hexagonal prismatic), A385027 (triakis truncated tetrahedral), A385267 (half pyramidille), A385268 (oblate cubille), A385269 (quarter cubille), A385270 (elongated dodecahedral), A385271 (hexakis cubic), A385272 (phyllic disphenoidal), A385273 (quarter oblate octahedrille), A385274 (rhombic pyramidal), A385275 (square quarter pyramidille), A385276 (trapezo-rhombic dodecahedral), A385277 (triangular prismatic). %K A385277 nonn,more,hard %O A385277 0,3 %A A385277 _Peter Kagey_ and _Bert Dobbelaere_, Jun 25 2025