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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.
3
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
1,1
COMMENTS
See A367662 and A367663 for images of the hexagon.
FORMULA
a(n) = A367662(n) + A367663(n) - 1 by Euler's formula.
CROSSREFS
Cf. A367662 (regions), A367663 (vertices), A367665 (k-gons), A355800.
Sequence in context: A274499 A181038 A222857 * A361729 A108735 A143556
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Nov 26 2023
STATUS
approved