A345650 Number of polygon edges formed when connecting all 4n points on the perimeter of an n X n square by infinite lines.

0, 8, 140, 1032, 3608, 11308, 21892, 51000, 83404, 143900, 217728, 367132, 456008, 749328, 952236, 1251056, 1649708, 2327232, 2653900, 3717444, 4158448, 5243680, 6488208, 8241988, 8780976, 11235028, 13116156

Offset

0,2

Comments

See A345459 for images of the polygons.

Links

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

Formula

a(n) = A345459(n) + A345649(n) - 1.

Crossrefs

Cf. A331448 (number inside the square), A345459 (number of polygons), A345649 (number of vertices), A255011, A345648, A344993, A344857, A092098, A007678.

Sequence in context: A091060 A201094 A061996 * A092703 A234353 A212442

Adjacent sequences: A345647 A345648 A345649 * A345651 A345652 A345653

Keyword

nonn,more

Author

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

Status

approved