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A067152 Number of regions in regular n-gon which are pentagons. 12

%I #21 Dec 04 2021 12:26:04

%S 1,0,7,0,18,10,44,0,117,98,150,128,357,72,646,580,903,814,1564,840,

%T 2050,2106,2862,2128,3625,1440,5146,4896,6105,5542,8190,7452,10471,

%U 10184,14235,13160,16564,11382,21156,20548,24300,23920,30362,26112,35231,32700,40341,38532,51834,42012,58905

%N Number of regions in regular n-gon which are pentagons.

%D 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.

%H Scott R. Shannon, <a href="/A067152/b067152.txt">Table of n, a(n) for n = 5..765</a>

%H Sascha Kurz, <a href="http://www.mathe2.uni-bayreuth.de/sascha/oeis/drawing/drawing.html">m-gons in regular n-gons</a>

%H B. Poonen and M. Rubinstein, <a href="http://math.mit.edu/~poonen/">The number of intersection points made by the diagonals of a regular polygon</a>, SIAM J. on Discrete Mathematics, Vol. 11, No. 1, 135-156 (1998).

%H <a href="/index/Pol#Poonen">Sequences formed by drawing all diagonals in regular polygon</a>

%e a(5)=1 because the center-region is a pentagon.

%Y Cf. A007678, A067164, A064869, A067151, A067153, A067154, A067155, A067156, A067157, A067158, A067159.

%K nonn

%O 5,3

%A _Sascha Kurz_, Jan 06 2002

%E a(49) and beyond by _Scott R. Shannon_, Dec 04 2021

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