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

Author

Scott R. Shannon, Jul 21 2022

Keywords

• nonn

Comments

See A108914 for images of the squares.

Crossrefs

Cf. A108914 (regions), A355949 (vertices), A355992 (k-gons), A355840, A331452, A335678.

Formula

a(n) = A108914(n) + A355949(n) - 1 by Euler's formula.