A330847 The number of vertices inside a pentagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

10, 121, 1055, 3506, 10410, 21111, 43740, 74526, 124490, 190291, 288190, 403321, 573805, 771191, 1027550, 1331896, 1721765, 2157301, 2712175, 3322441, 4067325, 4904491, 5900185, 6975151, 8268755, 9678566, 11297345, 13060231, 15102955, 17263311, 19784995

Offset

1,1

Comments

See the links in A331929 for images of the pentagons.

Links

Lars Blomberg, Table of n, a(n) for n = 1..35

Crossrefs

Cf. A331929 (regions), A331939 (n-gons), A329710 (edges), A330846, A092866, A332599, A007569

Sequence in context: A178928 A111695 A027770 * A202808 A091692 A098309

Adjacent sequences: A330844 A330845 A330846 * A330848 A330849 A330850

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Mar 07 2020

Extensions

a(9) and beyond from Lars Blomberg, May 11 2020

Status

approved