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 A378473 #17 Dec 01 2024 03:40:37 %S A378473 0,1,355048,5886817533,5864336054656,1241773051013125, %T A378473 98716454926955496,3991277735434713913,98382652674879674368, %U A378473 1661801013342756245961,20833333958666683585000,205202766952229526577141,1656184328295547539616128,11308349424395689922231053 %N A378473 The number of n-colorings of the vertices of the truncated octahedron up to rotation and reflection. %C A378473 Equivalently, the number of n-colorings of the faces of the tetrakis hexahedron, which is the polyhedral dual of the truncated octahedron. %C A378473 Colorings are counted up to the full octahedral group of order 48. %H A378473 Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetrakis_hexahedron">Tetrakis hexahedron</a> %H A378473 Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_octahedron">Truncated octahedron</a> %F A378473 a(n) = (1/48)*(n^24 + 3*n^16 + 16*n^12 + 8*n^8 + 12*n^6 + 8*n^4). %F A378473 Asymptotically, a(n) ~ n^24/48. %Y A378473 Cf. A000332, A060530, A128766, A199406, A252704, A252705, A274900, A337963, A378474, A378475, A378476, A378477, A378478. %K A378473 nonn %O A378473 0,3 %A A378473 _Peter Kagey_, Nov 27 2024