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A067155
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Number of regions in regular n-gon which are octagons when all its diagonals are drawn.
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11
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0, 0, 0, 0, 0, 13, 0, 0, 0, 34, 0, 38, 20, 0, 44, 23, 0, 50, 26, 108, 28, 145, 0, 217, 0, 264, 102, 315, 72, 407, 190, 546, 200, 656, 42, 903, 528, 810, 598, 1175, 288, 1078, 550, 1479, 780, 1166, 486, 1705, 784, 2451, 1276, 3068, 960, 3172, 1860, 4347, 2432, 4225, 2376, 4958, 2992, 3519, 2380
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OFFSET
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8,6
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REFERENCES
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B. Poonen and M. Rubinstein, Number of Intersection Points Made by the Diagonals of a Regular Polygon, SIAM J. Discrete Mathematics, Vol. 11, pp. 135-156.
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LINKS
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Scott R. Shannon, Table of n, a(n) for n = 8..765
Sascha Kurz, m-gons in regular n-gons
B. Poonen and M. Rubinstein, The number of intersection points made by the diagonals of a regular polygon, SIAM J. on Discrete Mathematics, Vol. 11, No. 1, 135-156 (1998).
Sequences formed by drawing all diagonals in regular polygon
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EXAMPLE
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a(13)=13 because drawing the regular 13-gon and all its diagonals yields 13 octagons.
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CROSSREFS
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Cf. A007678, A067167, A064869, A067151, A067152, A067153, A067154, A067156, A067157, A067158, A067159.
Sequence in context: A094896 A277118 A200065 * A277255 A255288 A221341
Adjacent sequences: A067152 A067153 A067154 * A067156 A067157 A067158
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KEYWORD
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nonn
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AUTHOR
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Sascha Kurz, Jan 06 2002
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EXTENSIONS
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a(65) and beyond by Scott R. Shannon, Dec 04 2021
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STATUS
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approved
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