cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A067155 Number of octagonal regions in regular n-gon with all diagonals drawn.

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%I A067155 #27 Jun 09 2025 21:21:20
%S A067155 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 A067155 102,315,72,407,190,546,200,656,42,903,528,810,598,1175,288,1078,550,
%U A067155 1479,780,1166,486,1705,784,2451,1276,3068,960,3172,1860,4347,2432,4225,2376,4958,2992,3519,2380
%N A067155 Number of octagonal regions in regular n-gon with all diagonals drawn.
%D A067155 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 A067155 Scott R. Shannon, <a href="/A067155/b067155.txt">Table of n, a(n) for n = 8..765</a>
%H A067155 Sascha Kurz, <a href="http://www.mathe2.uni-bayreuth.de/sascha/oeis/drawing/drawing.html">m-gons in regular n-gons</a>
%H A067155 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 A067155 <a href="/index/Pol#Poonen">Sequences formed by drawing all diagonals in regular polygon</a>
%e A067155 a(13)=13 because drawing the regular 13-gon and all its diagonals yields 13 octagons.
%Y A067155 Cf. A007678, A067167, A064869, A067151, A067152, A067153, A067154, A067156, A067157, A067158, A067159.
%K A067155 nonn
%O A067155 8,6
%A A067155 _Sascha Kurz_, Jan 06 2002
%E A067155 a(65) and beyond from _Scott R. Shannon_, Dec 04 2021
%E A067155 Definition clarified by _Hugo Pfoertner_, Dec 04 2021