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A014629
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Number of segments created by diagonals of n-gon.
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0
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0, 4, 15, 39, 84, 160, 279, 455, 704, 1044, 1495, 2079, 2820, 3744, 4879, 6255, 7904, 9860, 12159, 14839, 17940, 21504, 25575, 30199, 35424, 41300, 47879, 55215, 63364, 72384, 82335, 93279, 105280, 118404, 132719, 148295, 165204, 183520
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| (n^4-6*n^3+17*n^2-24*n)/12.
G.f.:x^2*(-4+5*x-4*x^2+x^3)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
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CROSSREFS
| Sequence in context: A113289 A033813 A112666 * A062486 A193226 A053698
Adjacent sequences: A014626 A014627 A014628 * A014630 A014631 A014632
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KEYWORD
| nonn,easy
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AUTHOR
| Mohammad K. Azarian (ma3(AT)evansville.edu)
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EXTENSIONS
| G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.
More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
Corrected the first offset. - Mohammad K. Azarian (azarian(AT)evansville.edu), Nov 19 2008
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