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 A378475 #21 Dec 09 2024 05:27:56 %S A378475 0,1,700688,11768099013,11728130343936,2483526957328125, %T A378475 197432556580265616,7982551312716034313,196765270145344012288, %U A378475 3323601794975613468921,41666666667041700250000,410405528159827444816781,3312368633477962187301888,22616698765607508420521013 %N A378475 The number of n-colorings of the vertices of the snub cube up to rotation. %C A378475 Equivalently, the number of n-colorings of the faces of the pentagonal icositetrahedron, which is the polyhedral dual of the snub cube. %C A378475 Colorings are counted up to the rotational octahedral symmetry group of order 24. %C A378475 This is also: %C A378475 1) The number of n-colorings of the vertices of the truncated octahedron (equivalently faces of the tetrakis hexahedron) up to rotational octahedral symmetry (alternatively full tetrahedral symmetry). %C A378475 2) The number of n-colorings of the vertices of the truncated cube (equivalently faces of the triakis octahedron) up to rotational octahedral symmetry. %H A378475 Wikipedia, <a href="https://en.wikipedia.org/wiki/Pentagonal_icositetrahedron">Pentagonal icositetrahedron</a> %H A378475 Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_cube">Snub cube</a> %F A378475 a(n) = (1/24)*(n^24 + 9*n^12 + 8*n^8 + 6*n^6). %F A378475 Asymptotically, a(n) ~ n^24/24. %Y A378475 Cf. A000332, A060530, A128766, A199406, A252704, A252705, A274900, A337963, A378473, A378474, A378476, A378477, A378478. %K A378475 nonn %O A378475 0,3 %A A378475 _Peter Kagey_, Nov 27 2024