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A355948
Number of edges formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts.
4
8, 56, 176, 344, 632, 840, 1376, 1736, 2312, 2840, 3728, 3968, 5336, 5960, 6816, 7880, 9416, 9912, 11888, 12344, 14008, 15656, 17696, 17872, 20648, 22232, 23984, 25304, 28568, 28376, 32768, 33800, 36296, 38840, 40848, 42008, 47096, 48872, 51296, 52568, 58088, 58136, 64016, 65144, 67712, 72392
OFFSET
1,1
COMMENTS
See A108914 for images of the squares.
FORMULA
a(n) = A108914(n) + A355949(n) - 1 by Euler's formula.
CROSSREFS
Cf. A108914 (regions), A355949 (vertices), A355992 (k-gons), A355840, A331452, A335678.
Sequence in context: A044146 A118772 A212817 * A267522 A073831 A168013
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jul 21 2022
STATUS
approved