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 A338957 #14 Dec 20 2020 02:21:46
%S A338957 1,68774446639102959610154174,
%T A338957 5523164445430505754875774375105924818979901,
%U A338957 5448873034167734394172913824852272971748608894646534804,10956401434158576570935668826433407535831446552957081921713485225
%N A338957 Number of unoriented colorings of the 96 edges (or triangular faces) of the 4-D 24-cell using exactly n colors.
%C A338957 Each chiral pair is counted as one when enumerating unoriented arrangements. The Schläfli symbol of the 24-cell is {3,4,3}. It has 24 octahedral facets. It is self-dual. For n>96, a(n) = 0.
%H A338957 Robert A. Russell, <a href="/A338957/b338957.txt">Table of n, a(n) for n = 1..96</a>
%F A338957 A338953(n) = Sum_{j=1..Min(n,96)} a(n) * binomial(n,j).
%F A338957 a(n) = A338956(n) - A338958(n) = (A338956(n) + A338959(n)) / 2 = A338958(n) + A338959(n).
%t A338957 bp[j_] := Sum[k! StirlingS2[j, k] x^k, {k, 0, j}] (* binomial series *)
%t A338957 Drop[CoefficientList[bp[8]/12+bp[12]/8+bp[16]/8+bp[18]/9+bp[20]/6+19bp[24]/96+bp[32]/24+bp[36]/36+43bp[48]/1152+bp[50]/16+bp[52]/96+bp[60]/96+bp[96]/1152,x],1]
%Y A338957 Cf. A338956 (oriented), A338958 (chiral), A338959 (achiral), A338953 (up to n colors), A338949 (vertices, facets), A063843 (5-cell), A331359 (8-cell edges, 16-cell faces), A331355 (16-cell edges, 8-cell faces), A338981 (120-cell, 600-cell).
%K A338957 fini,nonn,full
%O A338957 1,2
%A A338957 _Robert A. Russell_, Nov 17 2020