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A367663
Number of vertices 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.
4
6, 13, 55, 223, 673, 1753, 3787, 6937, 11851, 19297, 30211, 42877, 63247, 86323, 114049, 155701, 204169, 251293, 329989, 400081, 487537, 607189, 742747, 858241, 1041835, 1231789, 1424647, 1667659, 1968427, 2165947, 2600779, 2939863, 3286159, 3784153, 4217395, 4687771, 5688804, 6316332
OFFSET
1,1
COMMENTS
Keyword "look" is because of the linked images. - N. J. A. Sloane, Dec 01 2023
LINKS
Scott R. Shannon, Image for n = 2.
Scott R. Shannon, Image for n = 4.
Scott R. Shannon, Image for n = 6.
Scott R. Shannon, Image for n = 9.
FORMULA
a(n) = A367664(n) - A367662(n) + 1 by Euler's formula.
CROSSREFS
Cf. A367662 (regions), A367664 (edges), A367665 (k-gons), A355799.
Sequence in context: A320043 A296619 A064521 * A330283 A361244 A374348
KEYWORD
nonn,look
AUTHOR
Scott R. Shannon, Nov 26 2023
STATUS
approved