A333136 The number of vertices formed on a triangle with leg lengths equal to the Pythagorean triples by the straight line segments mutually connecting all vertices and all points that divide the sides into unit length parts.

230, 5138, 13181, 29277, 48107, 100003, 173261, 256910, 247940, 541752, 554717, 869197, 1051503, 987045, 1333241, 1190131, 1843049, 2991447, 3073340, 4382249, 4630456, 4635744, 5914142, 6877208

Offset

1,1

Comments

See A332978 for the Pythagorean triple ordering and the links for images of the triangles.

Links

Table of n, a(n) for n=1..24.

Crossrefs

Cf. A332978 (regions), A333135 (n-gons), A333137 (edges), A103605 (Pythagorean triple ordering), A092866, A332599, A007569.

Sequence in context: A251276 A194490 A232379 * A231061 A231107 A231251

Adjacent sequences: A333133 A333134 A333135 * A333137 A333138 A333139

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Mar 09 2020

Extensions

a(8)-a(24) from Lars Blomberg, Jun 07 2020

Status

approved