A331908 The number of regions inside a hexagram formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

168, 3588, 20424, 73860, 189468, 402216, 782808, 1385040, 2214108, 3423840, 5196312, 7218552, 10353432, 13823772, 18047124, 24083736, 31051152, 38334972, 48877440, 59201544, 72052956, 88004184, 106601088, 124009020

Offset

1,1

Comments

The terms are from numeric computation - no formula for a(n) is currently known.

Links

Table of n, a(n) for n=1..24.

Scott R. Shannon, Hexagram regions for n = 1.

Scott R. Shannon, Hexagram regions for n = 2.

Scott R. Shannon, Hexagram regions for n = 3.

Scott R. Shannon, Hexagram regions for n = 4.

Scott R. Shannon, Hexagram regions for n = 5.

Scott R. Shannon, Hexagram regions with random distance-based coloring for n = 1.

Scott R. Shannon, Hexagram regions with random distance-based coloring for n = 2.

Scott R. Shannon, Hexagram regions with random distance-based coloring for n = 3.

Eric Weisstein's World of Mathematics, Hexagram.

Crossrefs

Cf. A331909 (n-gons), A333116 (vertices), A333049 (edges), A007678, A092867, A331452, A331906.

Sequence in context: A232274 A110075 A360623 * A231995 A223243 A282614

Adjacent sequences: A331905 A331906 A331907 * A331909 A331910 A331911

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Jan 31 2020

Extensions

a(6)-a(24) from Lars Blomberg, May 10 2020

Status

approved