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 A167984 Number of n-cycles on the graph of the regular 120-cell, 3<=n<=600. 4
 0, 0, 720, 0, 0, 3600, 2400, 4320, 28800, 35400, 64800, 284400, 540000, 1139400, 3708000, 8557200, 19677600, 55725120, 140359200, 346456800, 935942400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,3 COMMENTS The 120-cell is one of 6 regular convex polytopes in 4 dimensions. The Schlafli symbol of the 120-cell is {5,3,3}. LINKS Eric Weisstein's World of Mathematics 120-cell A. Weimholt 120-cell net EXAMPLE a(5) = 720, because there are 720 5-cycles on the graph of the 120-cell. CROSSREFS Cf. A167981 - 2n-cycles on graph of the tesseract Cf. A167982 - n-cycles on graph of 16-cell Cf. A167983 - n-cycles on graph of 24-cell Cf. A167985 - n-cycles on graph of 600-cell Cf. A085452 - T(n, k) = 2k-cycles on graph of n-cube Cf. A144151 - ignoring first three columns (0<=k<=2), T(n, k) gives k-cycles on (n-1)-simplex. Cf. A167986 - T(n, k) = k-cycles on graph of n-orthoplex Cf. A108997 - Number of vertices n-steps from a given vertex on graph of 120-cell Sequence in context: A064980 A101997 A139195 * A145226 A056467 A056457 Adjacent sequences:  A167981 A167982 A167983 * A167985 A167986 A167987 KEYWORD fini,more,nonn AUTHOR Andrew Weimholt, Nov 16 2009 STATUS approved

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