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

1,1

Comments

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

Links

Table of n, a(n) for n=1..12.

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.

Sequence in context: A348301 A228225 A156923 * A104180 A010953 A355600

Adjacent sequences: A338000 A338001 A338002 * A338004 A338005 A338006

Keyword

nonn,more

Author

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

Extensions

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

Status

approved