A330845 The number of edges inside a hexagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

42, 708, 4020, 15120, 38544, 83136, 169686, 294678, 475500, 746340, 1140624, 1581612, 2296986, 3055734, 3980526, 5391264, 7003662, 8516346, 11094810, 13280970, 16180932, 19971282, 24277212, 28090218, 33683862, 39656604, 45901494, 53121744, 62678268, 69382632

Offset

1,1

Comments

See the links in A331931 for images of the hexagons.

Links

Table of n, a(n) for n=1..30.

Crossrefs

Cf. A331931 (regions), A331932 (n-gons), A330846 (vertices), A274586 , A332600, A331765.

Sequence in context: A200853 A214945 A159947 * A333113 A252827 A231158

Adjacent sequences: A330842 A330843 A330844 * A330846 A330847 A330848

Keyword

nonn

Author

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

Extensions

a(9)-a(30) from Lars Blomberg, May 12 2020

Status

approved