A358408 Number of vertices formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on each of the two adjacent edges of the square.

4, 8, 32, 144, 468, 1160, 2512, 4836, 8468, 13760, 21784, 31168, 46596, 64760, 86912, 114656, 154400, 194116, 253160, 310408, 382712, 469296, 580688, 677656, 822928, 969880, 1141112, 1319984, 1566512, 1755032, 2080376, 2349188, 2686452, 3052184, 3450348, 3800756, 4387404, 4880560, 5443192

Offset

1,1

Links

Table of n, a(n) for n=1..39.

Scott R. Shannon, Image for n = 2.

Scott R. Shannon, Image for n = 3.

Scott R. Shannon, Image for n = 4.

Scott R. Shannon, Image for n = 10.

Formula

a(n) = A358409(n) - A358407(n) + 1 by Euler's formula.

Crossrefs

Cf. A358407 (regions), A358409 (edges), A355799, A331449.

Sequence in context: A247938 A072868 A075398 * A098579 A261196 A222537

Adjacent sequences: A358405 A358406 A358407 * A358409 A358410 A358411

Keyword

nonn

Author

Scott R. Shannon, Nov 14 2022

Status

approved