A358409 Number of edges 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, 12, 68, 316, 1020, 2524, 5420, 10348, 18044, 29244, 45940, 66188, 97796, 135772, 182532, 240932, 321612, 405852, 525184, 646088, 796388, 974740, 1199244, 1407140, 1700944, 2004576, 2356296, 2729256, 3221296, 3630296, 4272656, 4835984, 5522768, 6269016, 7084056, 7835068, 8987192, 10005400

Offset

1,1

Comments

See A358407 and A358408 for images of the square.

Links

Table of n, a(n) for n=1..38.

Formula

a(n) = A358407(n) + A358408(n) - 1 by Euler's formula.

Crossrefs

Cf. A358407 (regions), A358408 (vertices), A355800, A331448.

Sequence in context: A339134 A000843 A369284 * A180386 A302434 A121771

Adjacent sequences: A358406 A358407 A358408 * A358410 A358411 A358412

Keyword

nonn

Author

Scott R. Shannon, Nov 14 2022

Status

approved