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A067154 Number of regions in regular n-gon which are heptagons. 11

%I #21 Dec 04 2021 12:26:23

%S 1,0,0,0,0,0,0,0,15,0,17,18,57,0,21,44,115,0,150,104,81,112,116,0,155,

%T 224,429,306,560,180,555,836,663,640,1025,378,1419,660,1710,1564,1786,

%U 1200,2352,1050,2754,2236,2597,2700,3410,2240,3078,3190,4602,1860,5551,4898,6363,5056,8515,4950

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

%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="/A067154/b067154.txt">Table of n, a(n) for n = 7..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(7)=1 because the center-region is a heptagon.

%Y Cf. A007678, A067166, A064869, A067151, A067152, A067153, A067155, A067156, A067157, A067158, A067159.

%K nonn

%O 7,9

%A _Sascha Kurz_, Jan 06 2002

%E a(62) and beyond by _Scott R. Shannon_, Dec 04 2021

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)