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 A378474 #21 May 31 2025 05:42:37 %S A378474 0,1,5864068667776,1661800897546646288751, %T A378474 1650586719047285117763813376,74014868308343792955106160546875, %U A378474 467755368903219944377426648894114176,764653504526960946768130306131125170501,464598858302721315450530067459906444722176 %N A378474 The number of n-colorings of the vertices of the truncated cuboctahedron up to rotation and reflection. %C A378474 Equivalently, the number of n-colorings of the faces of the disdyakis dodecahedron, which is the polyhedral dual of the truncated cuboctahedron. %C A378474 Colorings are counted up to the full octahedral group of order 48. %H A378474 Wikipedia, <a href="https://en.wikipedia.org/wiki/Disdyakis_dodecahedron">Disdyakis dodecahedron</a> %H A378474 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_cuboctahedron">Truncated cuboctahedron</a> %F A378474 a(n) = (1/48)*(n^48 + 19*n^24 + 8*n^16 + 12*n^12 + 8*n^8). %F A378474 Asymptotically, a(n) ~ n^48/48. %Y A378474 Cf. A000332, A060530, A128766, A199406, A252704, A252705, A274900, A337963, A378473, A378475, A378476, A378477, A378478. %K A378474 nonn,easy %O A378474 0,3 %A A378474 _Peter Kagey_, Nov 27 2024