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A334459 Number of edges in a polygon whose boundary consists of n+2 equally space points around a semicircle and n+2 equally spaced points along the diameter (a total of 2n+2 points). See Comments for precise definition. 3

%I #15 Dec 29 2023 14:23:24

%S 0,5,24,86,265,582,1260,2235,3861,6055,9416,13366,19409,26296,35408,

%T 46569,60945,76527,97432,119703,147753,178670,216844,256401,306825,

%U 358719,421848,487960,567617,647259,747596,847765,966609,1088541,1232280,1376016,1548265

%N Number of edges in a polygon whose boundary consists of n+2 equally space points around a semicircle and n+2 equally spaced points along the diameter (a total of 2n+2 points). See Comments for precise definition.

%C A semicircular polygon with 2n+2 points is created by placing n+2 equally spaced vertices along the semicircle's arc (including the two end vertices). Also place n+2 equally spaced vertices along the diameter (again including the same two end vertices). Now connect every pair of vertices by a straight line segment. The sequence gives the number of edges in the resulting figure.

%H Lars Blomberg, <a href="/A334459/b334459.txt">Table of n, a(n) for n = 0..50</a>

%Y Cf. A333519, A334458

%K nonn

%O 0,2

%A _Lars Blomberg_, May 01 2020

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Last modified July 15 02:08 EDT 2024. Contains 374323 sequences. (Running on oeis4.)