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A014629 Number of segments created by diagonals of n-gon. 0

%I #20 Feb 07 2021 00:29:47

%S 0,4,15,39,84,160,279,455,704,1044,1495,2079,2820,3744,4879,6255,7904,

%T 9860,12159,14839,17940,21504,25575,30199,35424,41300,47879,55215,

%U 63364,72384,82335,93279,105280,118404,132719,148295,165204,183520

%N Number of segments created by diagonals of n-gon.

%F a(n) = (n^4+2*n^3+5*n^2+4*n-12)/12. [adapted to offset by _Gionata Neri_, Feb 06 2021]

%F G.f.: x^2*(-4+5*x-4*x^2+x^3)/(x-1)^5. - Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009

%K nonn,easy

%O 1,2

%A _Mohammad K. Azarian_

%E G.f. proposed by Maksym Voznyy checked and corrected by _R. J. Mathar_, Sep 16 2009

%E More terms from _Erich Friedman_

%E Offset corrected by _Mohammad K. Azarian_, Nov 19 2008

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Last modified July 19 15:03 EDT 2024. Contains 374410 sequences. (Running on oeis4.)