A367664 Number of edges formed in a hexagon 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 the edge on the opposite side of the hexagon.

6, 18, 108, 474, 1452, 3720, 7932, 14598, 24864, 40374, 62772, 89694, 131208, 179370, 237732, 322494, 421548, 522348, 679920, 828330, 1010808, 1252932, 1527540, 1776846, 2146800, 2536038, 2939664, 3436632, 4040088, 4483548, 5335020, 6041532, 6773148, 7771926, 8678256, 9666300

Offset: 1

Author

Scott R. Shannon, Nov 26 2023

Keywords

• nonn

Comments

See A367662 and A367663 for images of the hexagon.

Crossrefs

Cf. A367662 (regions), A367663 (vertices), A367665 (k-gons), A355800.

Formula

a(n) = A367662(n) + A367663(n) - 1 by Euler's formula.