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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.
5
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.
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
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jun 24 2021
STATUS
approved