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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. 4
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 (list; graph; refs; listen; history; text; internal format)
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 * A059863 A256625 A057616

Adjacent sequences:  A344893 A344894 A344895 * A344897 A344898 A344899

KEYWORD

nonn

AUTHOR

Scott R. Shannon, Jun 24 2021

STATUS

approved

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Last modified June 26 21:14 EDT 2022. Contains 354885 sequences. (Running on oeis4.)