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A067159 Number of regions in regular n-gon which are 12-gons. 10

%I #17 Dec 04 2021 12:27:42

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,

%T 0,0,0,0,0,51,0,53,0,0,0,0,0,59,0,61,0,63,0,65,0,0,0,0,0,0,0,73,0,225,

%U 76,0,0,0,0,0,0,0,0,170,0,0,0,0,0,273,0,93,0,95,0,97,0,0,0,101,102,412

%N Number of regions in regular n-gon which are 12-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="/A067159/b067159.txt">Table of n, a(n) for n = 12..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(40)=40 because drawing the regular 40-gon with all its diagonals yields 40 12-gons.

%Y Cf. A007678, A064869, A067151, A067152, A067153, A067154, A067155, A067156, A067157, A067158.

%K nonn

%O 12,29

%A _Sascha Kurz_, Jan 06 2002

%E a(104) and beyond by _Scott R. Shannon_, Dec 04 2021

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Last modified September 10 02:27 EDT 2024. Contains 375769 sequences. (Running on oeis4.)