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.

A385026 Number of face-connected components of hexagonal prism cells in the hexagonal prismatic honeycomb up to translation, rotation, and reflection of the honeycomb.

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%I A385026 #13 Jun 24 2025 00:53:47
%S A385026 1,2,5,20,89,569,4002,31899,266736,2315811,20531349,184927106,
%T A385026 1684835315
%N A385026 Number of face-connected components of hexagonal prism cells in the hexagonal prismatic honeycomb up to translation, rotation, and reflection of the honeycomb.
%C A385026 These are "free polyforms" because they are counted up to rotation and reflection.
%C A385026 The hexagonal prismatic honeycomb is the dual of the triangular prismatic honeycomb.
%H A385026 Peter Kagey, <a href="/A385026/a385026.gif">Animation illustrating a(4)=20</a>.
%H A385026 Wikipedia, <a href="https://en.wikipedia.org/wiki/Triangular_prismatic_honeycomb#Hexagonal_prismatic_honeycomb">Triangular prismatic honeycomb</a>. (See section "Hexagonal prismatic honeycomb.")
%Y A385026 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).
%K A385026 nonn,hard,more
%O A385026 1,2
%A A385026 _Peter Kagey_ and _Bert Dobbelaere_, Jun 15 2025