A338003 The number of vertices in a 4-pointed star formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.

37, 653, 5517, 17153, 50349, 97037, 204329, 330613, 571021, 835713, 1298533, 1764125

Offset: 1

Author

Scott R. Shannon and N. J. A. Sloane, Oct 06 2020

Keywords

• nonn
• more

Comments

See A338002 for a definition of the star and images for the number of regions.

Links

• Scott R. Shannon, Image of the star showing the vertex counts for n=1.
• Scott R. Shannon, Image of the star showing the vertex counts for n=2.
• Scott R. Shannon, Image of the star showing the vertex counts for n=3.
• Scott R. Shannon, Image of the star showing the vertex counts for n=4.
• Scott R. Shannon, Image of the star showing the vertex counts for n=5.

Crossrefs

Cf. A338002 (number of regions), A092866, A332599, A007569, A333117, A333116.

Extensions

a(8)-a(12) from Lars Blomberg, Apr 08 2021