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A067156 Number of regions in regular n-gon which are 9-gons. 11

%I #17 Dec 04 2021 12:27:14

%S 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,35,0,0,0,0,0,123,

%T 0,0,88,45,0,0,0,0,0,51,0,0,0,165,0,114,0,118,120,61,124,0,192,195,66,

%U 67,272,138,0,568,360,146,222,600,0,231,156,237,800,567,410,664,84,255,344,174

%N Number of regions in regular n-gon which are 9-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="/A067156/b067156.txt">Table of n, a(n) for n = 9..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(9)=1 because drawing the regular 9-gon with all its diagonals yields 1 9-gon.

%Y Cf. A007678, A067168, A064869, A067151, A067152, A067153, A067154, A067155, A067157, A067158, A067159.

%K nonn

%O 9,27

%A _Sascha Kurz_, Jan 06 2002

%E a(86) and beyond by _Scott R. Shannon_, Dec 04 2021

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)