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A067157 Number of regions in regular n-gon which are 10-gons. 11

%I #18 Dec 04 2021 12:27:23

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,87,0,62,0,0,0,0,0,74,0,0,0,41,

%T 0,0,44,0,0,235,48,147,100,51,0,159,54,110,56,114,58,177,0,183,62,378,

%U 256,195,0,134,136,621,210,71,144,438,222,750,76,385,78,1185,80,648,82,830,336,935

%N Number of regions in regular n-gon which are 10-gons.

%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="/A067157/b067157.txt">Table of n, a(n) for n = 10..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(29)=87 because drawing the regular 29-gon with all its diagonals yields 87 10-gons.

%Y Cf. A007678, A067169, A064869, A067151, A067152, A067153, A067154, A067155, A067156, A067158, A067159.

%K nonn

%O 10,20

%A _Sascha Kurz_, Jan 06 2002

%E a(83) and beyond by _Scott R. Shannon_, Dec 04 2021

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Last modified September 10 03:08 EDT 2024. Contains 375770 sequences. (Running on oeis4.)