A334458 Number of vertices 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.

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

0,2

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 vertices in the resulting figure.

Links

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

Crossrefs

Cf. A333519, A334459

Sequence in context: A149326 A149327 A308446 * A122920 A241073 A149328

Adjacent sequences: A334455 A334456 A334457 * A334459 A334460 A334461

Keyword

nonn

Author

Lars Blomberg, May 01 2020

Status

approved