A333027 The number of edges formed on an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices.

3, 10, 33, 96, 235, 486, 933, 1600, 2561, 3884, 5907, 8310, 11793, 15890, 20863, 27002, 35229, 44117, 55820, 68312, 82931, 100368, 121711, 143685, 169750, 199509, 232366, 268169, 312132, 355839, 409902, 465503, 527080, 596443, 668961, 746443, 839830, 937967

Offset

1,1

Comments

See the links in A332953 for images of the triangles.

Links

Lars Blomberg, Table of n, a(n) for n = 1..70

Crossrefs

Cf. A332953 (regions), A333025 (n-gons), A333026 (vertices), A007678, A092867, A331452, A331911, A332357, A332358.

Sequence in context: A042039 A080697 A316404 * A316405 A316406 A316407

Adjacent sequences: A333024 A333025 A333026 * A333028 A333029 A333030

Keyword

nonn

Author

Scott R. Shannon and N. J. A. Sloane, Mar 05 2020

Extensions

a(16) and beyond from Lars Blomberg, May 26 2020

Status

approved