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.

A384072 Number of connected components of n faces of the snub cube up to the 24 rotations of the snub cube.

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%I A384072 #19 May 24 2025 14:46:38
%S A384072 1,3,3,6,16,39,101,263,694,1839,4884,12840,33508,86227,218284,538796,
%T A384072 1284335,2919365,6249499,12411396,22483152,36410533,51641029,62911551,
%U A384072 64827047,55869657,40009946,23732630,11668877,4763611,1619236,456756,106602,20157,3101,358,37,3,1
%N A384072 Number of connected components of n faces of the snub cube up to the 24 rotations of the snub cube.
%C A384072 Two faces are connected if they share an edge.
%C A384072 These are "one-sided" polyforms because reflections are not allowed.
%C A384072 The snub cube is the polyhedral dual of the pentagonal icositetrahedron.
%H A384072 Peter Kagey, <a href="/A384072/a384072.pdf">Illustration of a(1)-a(3)</a>.
%H A384072 Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_cube">Snub cube</a>
%e A384072 a(1) = 3 because the snub cube is not face transitive, but has three distinct orbits of faces: (1) squares, (2) triangles that are connected to a square, and (3) triangles that are not connected to a square.
%Y A384072 Cf. A383808 (pentagonal icositetrahedron).
%Y A384072 Cf. A309159 (snub square tiling), A383908 (snub trihexagonal tiling).
%Y A384072 Cf. A384067 (cuboctahedron), A384068 (truncated cube), A384069 (truncated octahedron), A384070 (rhombicuboctahedron), A384071 (truncated cuboctahedron), A384072 (snub cube).
%K A384072 nonn,fini,full
%O A384072 0,2
%A A384072 _Peter Kagey_, May 18 2025
%E A384072 a(13)-a(38) from _Bert Dobbelaere_, May 24 2025