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.

A217745 Number of regions in the exterior of a regular n-gon with all diagonals drawn.

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%I A217745 #7 Mar 23 2013 15:10:04
%S A217745 1,4,10,18,35,64,117,190,330,492,780,1050,1605,2080,2941
%N A217745 Number of regions in the exterior of a regular n-gon with all diagonals drawn.
%e A217745 a(3) = 1 since the equilateral triangle has no diagonals and therefore one exterior region (with infinite area).
%e A217745 a(4) = 4 since the two diagonals of the square divide the exterior in four regions (with infinite area).
%e A217745 a(5) = 10 since the ten diagonals of the regular pentagon divide the exterior in ten regions (with infinite area) of two different shapes.
%Y A217745 Cf. A007678.
%K A217745 nonn
%O A217745 3,2
%A A217745 _Martin Renner_, Mar 23 2013