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 A338954 #13 Mar 13 2024 13:49:21
%S A338954 68774446614978208476646592,
%T A338954 5523164445430505077912054084256733211946217,
%U A338954 5448873034189827051926943172520863487560602391778344960,10956401461402941741829554371669666304159415287557559324930859375
%N A338954 Number of chiral pairs of colorings of the 96 edges (or triangular faces) of the 4-D 24-cell using subsets of a set of n colors.
%C A338954 Each member of a chiral pair is a reflection but not a rotation of the other. The Schläfli symbol of the 24-cell is {3,4,3}. It has 24 octahedral facets. It is self-dual.
%H A338954 Robert A. Russell, <a href="/A338954/b338954.txt">Table of n, a(n) for n = 2..30</a>
%H A338954 <a href="/index/Rec#order_97">Index entries for linear recurrences with constant coefficients</a>, order 97.
%F A338954 a(n) = (96*n^8 + 144*n^12 - 48*n^16 - 64*n^18 - 192*n^20 - 60*n^24 +
%F A338954 48*n^32 + 32*n^36 - 5*n^48 + 72*n^50 - 12*n^52 - 12*n^60 + n^96) / 1152.
%F A338954 a(n) = Sum_{j=2..Min(n,96)} A338958(n) * binomial(n,j).
%F A338954 a(n) = A338952(n) - A338953(n) = (A338952(n) - A338955(n)) / 2 = A338953(n) - A338955(n).
%t A338954 Table[(96n^8+144n^12-48n^16-64n^18-192n^20-60n^24+48n^32+32n^36-5n^48+72n^50-12n^52-12n^60+n^96)/1152,{n,2,15}]
%Y A338954 Cf. A338952 (oriented), A338953 (unoriented), A338955 (achiral), A338958 (exactly n colors), A338950 (vertices, facets), A331352 (5-cell), A331360 (8-cell edges, 16-cell faces), A331356 (16-cell edges, 8-cell faces), A338966 (120-cell, 600-cell).
%K A338954 nonn,easy
%O A338954 2,1
%A A338954 _Robert A. Russell_, Nov 17 2020