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

Author

Scott R. Shannon, Nov 14 2022

Keywords

• nonn

Comments

See A358407 and A358408 for images of the square.

Crossrefs

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

Formula

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