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A067151
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Number of regions in regular n-gon which are 4-gons.
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9
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0, 0, 6, 7, 24, 36, 90, 132, 168, 234, 378, 600, 672, 901, 954, 1444, 1580, 2520, 2860, 2990, 3696, 4800, 5070, 6750, 7644, 9309, 7920, 12927, 12896, 15576, 16898, 20475, 18684, 25382, 27246, 30966, 32760, 37064, 37170, 45838, 47300, 55350, 60996
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,3
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REFERENCES
| 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
| 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, arXiv version, which has fewer typos than the SIAM version.
B. Poonen and M. Rubinstein, Mathematica programs for these sequences
Sequences formed by drawing all diagonals in regular polygon
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EXAMPLE
| a(6)=6 because the 6 regions around the center are 4-gons.
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CROSSREFS
| Cf. A007678, A067163, A064869, A067152, A067153, A067154, A067155, A067156, A067157, A067158, A067159.
Sequence in context: A185509 A099572 A110928 * A135987 A200179 A054289
Adjacent sequences: A067148 A067149 A067150 * A067152 A067153 A067154
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KEYWORD
| easy,nonn
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AUTHOR
| Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Jan 06 2002
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