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A167982
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Number of n-cycles on the graph of the regular 16-cell, 3 <= n <= 8.
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4
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OFFSET
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3,1
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COMMENTS
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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}.
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LINKS
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Eric Weisstein's World of Mathematics, 16-Cell
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EXAMPLE
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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.
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CROSSREFS
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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).
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KEYWORD
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fini,full,nonn
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AUTHOR
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STATUS
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approved
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