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A067152
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Number of regions in regular n-gon which are pentagons.
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12
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1, 0, 7, 0, 18, 10, 44, 0, 117, 98, 150, 128, 357, 72, 646, 580, 903, 814, 1564, 840, 2050, 2106, 2862, 2128, 3625, 1440, 5146, 4896, 6105, 5542, 8190, 7452, 10471, 10184, 14235, 13160, 16564, 11382, 21156, 20548, 24300, 23920, 30362, 26112, 35231, 32700, 40341, 38532, 51834, 42012, 58905
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history;
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OFFSET
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5,3
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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 = 5..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(5)=1 because the center-region is a pentagon.
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CROSSREFS
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Cf. A007678, A067164, A064869, A067151, A067153, A067154, A067155, A067156, A067157, A067158, A067159.
Sequence in context: A348516 A245543 A225949 * A052440 A246919 A167299
Adjacent sequences: A067149 A067150 A067151 * A067153 A067154 A067155
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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(49) and beyond by Scott R. Shannon, Dec 04 2021
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STATUS
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approved
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