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 A167985 #20 Feb 16 2025 08:33:11
%S A167985 1200,5400,29520,187200,1310400,9813600,77193600,630538632,5307656400
%N A167985 Number of n-cycles on the graph of the regular 600-cell, 3 <= n <= 120.
%C A167985 The 600-cell is one of 6 regular convex polytopes in 4 dimensions. The Schläfli symbol for the 600-cell is {3,3,5}.
%H A167985 A. Weimholt, <a href="http://www.weimholt.com/andrew/600.html">600-cell net</a>
%H A167985 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/600-Cell.html">600-Cell</a>
%H A167985 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CyclePolynomial.html">Cycle Polynomial</a>
%e A167985 a(3) = 1200, because there are 1200 3-cycles on the graph of the 600-cell.
%e A167985 Cycle polynomial is 1200*x^3 + 5400*x^4 + 29520*x^5 + 187200*x^6 + 1310400*x^7 + 9813600*x^8 + 77193600*x^9 + 630538632*x^10 + ...
%Y A167985 Cf. A167981 (2n-cycles on graph of the tesseract).
%Y A167985 Cf. A167982 (n-cycles on graph of 16-cell).
%Y A167985 Cf. A167983 (n-cycles on graph of 24-cell).
%Y A167985 Cf. A167984 (n-cycles on graph of 120-cell).
%Y A167985 Cf. A085452 (2k-cycles on graph of n-cube).
%Y A167985 Cf. A144151 (ignoring first three columns (0<=k<=2), k-cycles on (n-1)-simplex).
%Y A167985 Cf. A167986 (k-cycles on graph of n-orthoplex).
%Y A167985 Cf. A118785 (number of vertices n-steps from a given vertex on graph of the 600-cell).
%K A167985 fini,more,nonn,hard
%O A167985 3,1
%A A167985 _Andrew Weimholt_, Nov 16 2009
%E A167985 a(11) from _Eric W. Weisstein_, Feb 09 2014