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.

0, 5, 24, 86, 265, 582, 1260, 2235, 3861, 6055, 9416, 13366, 19409, 26296, 35408, 46569, 60945, 76527, 97432, 119703, 147753, 178670, 216844, 256401, 306825, 358719, 421848, 487960, 567617, 647259, 747596, 847765, 966609, 1088541, 1232280, 1376016, 1548265

Offset

0,2

Comments

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.

Links

Lars Blomberg, Table of n, a(n) for n = 0..50

Crossrefs

Cf. A333519, A334458

Sequence in context: A000347 A270906 A268587 * A270682 A272420 A089095

Adjacent sequences: A334456 A334457 A334458 * A334460 A334461 A334462

Keyword

nonn

Author

Lars Blomberg, May 01 2020

Status

approved