A334458 Number of vertices in a polygon whose boundary consists of n+2 equally spaced points around a semicircle and n+2 equally spaced points along the diameter (a total of 2n+2 points). See Comments for precise definition.

1, 4, 12, 39, 125, 271, 609, 1076, 1884, 2950, 4642, 6541, 9607, 12969, 17505, 23034, 30294, 37888, 48488, 59404, 73506, 88779, 108077, 127412, 153000, 178514, 210366, 242961, 283243, 322120, 373147, 422454, 482442, 542604, 615300, 685885, 773189, 857791

Offset: 0

Author

Lars Blomberg, May 01 2020

Keywords

• nonn

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 vertices in the resulting figure.

Links

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

Crossrefs

Cf. A333519, A334459