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 A167982 #15 Feb 16 2025 08:33:11
%S A167982 32,102,288,640,960,744
%N A167982 Number of n-cycles on the graph of the regular 16-cell, 3 <= n <= 8.
%C A167982 Row n=3 of the triangle in A167986
%C A167982 The 16-cell is the dual polytope of the tesseract, and is one of 6 regular convex polytopes in 4 dimensions. The Schläfli symbol for the 16-cell is {3,3,4}.
%H A167982 A. Weimholt, <a href="http://www.weimholt.com/andrew/16.html">16-cell net</a>
%H A167982 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/16-Cell.html">16-Cell</a>
%H A167982 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CyclePolynomial.html">Cycle Polynomial</a>
%e A167982 a(3) = 32, because there are 32 3-cycles on the graph of the 16-cell.
%e A167982 Cycle polynomial is 32*x^3 + 102*x^4 + 288*x^5 + 640*x^6 + 960*x^7 + 744*x^8.
%Y A167982 Cf. A167981 (2n-cycles on graph of the tesseract).
%Y A167982 Cf. A167983 (n-cycles on graph of 24-cell).
%Y A167982 Cf. A167984 (n-cycles on graph of 120-cell).
%Y A167982 Cf. A167985 (n-cycles on graph of 600-cell).
%Y A167982 Cf. A085452 (2k-cycles on graph of n-cube).
%Y A167982 Cf. A144151 (ignoring first three columns (0<=k<=2), k-cycles on (n-1)-simplex).
%Y A167982 Cf. A167986 (k-cycles on graph of n-orthoplex).
%K A167982 fini,full,nonn
%O A167982 3,1
%A A167982 _Andrew Weimholt_, Nov 16 2009