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A167984
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Number of n-cycles on the graph of the regular 120-cell, 3<=n<=600.
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4
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0, 0, 720, 0, 0, 3600, 2400, 4320, 28800, 35400, 64800, 284400, 540000, 1139400, 3708000, 8557200, 19677600, 55725120, 140359200, 346456800, 935942400
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OFFSET
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3,3
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COMMENTS
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The 120-cell is one of 6 regular convex polytopes in 4 dimensions. The Schlafli symbol of the 120-cell is {5,3,3}.
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LINKS
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Table of n, a(n) for n=3..23.
Eric Weisstein's World of Mathematics 120-cell
A. Weimholt 120-cell net
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EXAMPLE
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a(5) = 720, because there are 720 5-cycles on the graph of the 120-cell.
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CROSSREFS
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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
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KEYWORD
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fini,more,nonn
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AUTHOR
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Andrew Weimholt, Nov 16 2009
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STATUS
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approved
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