A344896 Number of polygon edges formed by infinite lines when connecting all vertices and all points that divide the sides of an equilateral triangle into n equal parts.

3, 21, 186, 705, 2196, 5046, 10212, 19149, 31524, 50049, 77100, 114633, 159453, 225978, 298833, 390069, 508137, 663426, 824868, 1040727, 1258833, 1532565, 1859331, 2254938, 2628309, 3130227, 3664920, 4261503, 4917939, 5742696, 6503331, 7511280, 8507322, 9658806, 10855989, 12237066

Offset

1,1

Comments

See A344279 for images of the polygons.

Links

Table of n, a(n) for n=1..36.

Formula

a(n) = A344279(n) + A344657(n) - 1.

Crossrefs

Cf. A344279 (number of polygons), A344657 (number of vertices), A346446 (number of k-gons), A092867 (number polygons inside the triangle), A344899, A345650.

Sequence in context: A083063 A012163 A012055 * A358990 A059863 A256625

Adjacent sequences: A344893 A344894 A344895 * A344897 A344898 A344899

Keyword

nonn

Author

Scott R. Shannon, Jun 24 2021

Status

approved