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

Author

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

Keywords

• nonn
• more

Comments

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

Links

• 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.

Extensions

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