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A067155 Number of regions in regular n-gon which are octagons when all its diagonals are drawn. 11

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

%S 0,0,0,0,0,13,0,0,0,34,0,38,20,0,44,23,0,50,26,108,28,145,0,217,0,264,

%T 102,315,72,407,190,546,200,656,42,903,528,810,598,1175,288,1078,550,

%U 1479,780,1166,486,1705,784,2451,1276,3068,960,3172,1860,4347,2432,4225,2376,4958,2992,3519,2380

%N Number of regions in regular n-gon which are octagons when all its diagonals are drawn.

%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="/A067155/b067155.txt">Table of n, a(n) for n = 8..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(13)=13 because drawing the regular 13-gon and all its diagonals yields 13 octagons.

%Y Cf. A007678, A067167, A064869, A067151, A067152, A067153, A067154, A067156, A067157, A067158, A067159.

%K nonn

%O 8,6

%A _Sascha Kurz_, Jan 06 2002

%E a(65) and beyond by _Scott R. Shannon_, Dec 04 2021

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)