A345649 Number of vertices formed when connecting all 4n points on the perimeter of an n X n square by infinite lines.

0, 5, 61, 465, 1585, 5257, 9749, 24025, 38381, 67177, 100889, 176005, 210033, 360877, 450349, 589581, 779541, 1127509, 1251805, 1806061, 1970129, 2504401, 3116945, 4017701, 4163753, 5433657, 6335589

Offset

0,2

Comments

See A345459 for images of the polygons.

Links

Table of n, a(n) for n=0..26.

Formula

a(n) = A345650(n) - A345459(n) + 1.

Crossrefs

Cf. A345459 (number of polygons), A345650 (number of edges), A255011, A345648, A344993, A344857, A092098, A007678.

Sequence in context: A281713 A060060 A183379 * A000363 A200956 A203358

Adjacent sequences: A345646 A345647 A345648 * A345650 A345651 A345652

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Jun 21 2021

Status

approved