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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. 3
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 (list; graph; refs; listen; history; text; internal format)
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
CROSSREFS
Sequence in context: A149326 A149327 A308446 * A122920 A241073 A149328
KEYWORD
nonn
AUTHOR
Lars Blomberg, May 01 2020
STATUS
approved

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Last modified July 15 00:00 EDT 2024. Contains 374323 sequences. (Running on oeis4.)