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.

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.

Links

Table of n, a(n) for n=1..46.

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

Adjacent sequences: A355945 A355946 A355947 * A355949 A355950 A355951

Keyword

nonn

Author

Scott R. Shannon, Jul 21 2022

Status

approved