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 A167982 Number of n-cycles on the graph of the regular 16-cell, 3 <= n <= 8. 4
 32, 102, 288, 640, 960, 744 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Row n=3 of the triangle in A167986 The 16-cell is the dual polytope of the tesseract, and is one of 6 regular convex polytopes in 4 dimensions. The SchlĂ¤fli symbol for the 16-cell is {3,3,4}. LINKS A. Weimholt, 16-cell net Eric Weisstein's World of Mathematics, 16-Cell Eric Weisstein's World of Mathematics, Cycle Polynomial EXAMPLE a(3) = 32, because there are 32 3-cycles on the graph of the 16-cell. Cycle polynomial is 32*x^3 + 102*x^4 + 288*x^5 + 640*x^6 + 960*x^7 + 744*x^8. CROSSREFS Cf. A167981 (2n-cycles on graph of the tesseract). Cf. A167983 (n-cycles on graph of 24-cell). Cf. A167984 (n-cycles on graph of 120-cell). Cf. A167985 (n-cycles on graph of 600-cell). Cf. A085452 (2k-cycles on graph of n-cube). Cf. A144151 (ignoring first three columns (0<=k<=2), k-cycles on (n-1)-simplex). Cf. A167986 (k-cycles on graph of n-orthoplex). Sequence in context: A172517 A194645 A134845 * A063498 A173951 A233691 Adjacent sequences:  A167979 A167980 A167981 * A167983 A167984 A167985 KEYWORD fini,full,nonn AUTHOR Andrew Weimholt, Nov 16 2009 STATUS approved

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Last modified January 28 13:34 EST 2022. Contains 350656 sequences. (Running on oeis4.)