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

Author

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

Keywords

• nonn
• more

Comments

See A345459 for images of the polygons.

Crossrefs

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

Formula

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