A355800 Number of edges formed in a square 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 square.

4, 12, 48, 196, 592, 1308, 2992, 5236, 9296, 14332, 23704, 31432, 49592, 64208, 87712, 115524, 158776, 186660, 255464, 295532, 374200, 455064, 574024, 632836, 800568, 923764, 1092672, 1238412, 1515912, 1613148, 2001200, 2191124, 2516016, 2847668, 3223968, 3485484, 4167304, 4523992, 5042336

Offset

1,1

Comments

See A355798 for images of the squares.

Links

Table of n, a(n) for n=1..39.

Formula

a(n) = A355798(n) + A355799(n) - 1 by Euler's formula.

Crossrefs

Cf. A355798 (regions), A355799 (vertices), A355801 (k-gons), A255011 (all vertices), A290131, A331452, A335678.

Sequence in context: A092898 A110594 A151483 * A192622 A324801 A111930

Adjacent sequences: A355797 A355798 A355799 * A355801 A355802 A355803

Keyword

nonn

Author

Scott R. Shannon, Jul 17 2022

Status

approved