A333135 Irregular table read by rows: Take a triangle with Pythagorean triple leg lengths with all diagonals drawn, as in A332978. Then T(n,k) = number of k-sided polygons in that figure for k >= 3 where the legs are divided into unit length parts.

139, 94, 34, 3, 1, 2383, 2421, 760, 167, 13, 2, 5307, 5958, 2113, 563, 80, 17, 2, 13083, 13560, 4479, 1002, 153, 16, 1, 18827, 20896, 8256, 2139, 377, 49, 6, 1, 42992, 45400, 15930, 3771, 579, 60, 5, 63526, 79275, 28922, 7315, 1404, 202, 14, 4

Offset

1,1

Comments

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

Links

Lars Blomberg, Table of n, a(n) for n = 1..213 (the first 24 rows)

Example

Table begins:
139, 94, 34, 3, 1;
2383, 2421, 760, 167, 13, 2;
5307, 5958, 2113, 563, 80, 17, 2;
13083, 13560, 4479, 1002, 153, 16, 1;
18827, 20896, 8256, 2139, 377, 49, 6, 1;
42992, 45400, 15930, 3771, 579, 60, 5;
63526, 79275, 28922, 7315, 1404, 202, 14, 4;
The row sums are A332978.

Crossrefs

Cf. A332978 (regions), A333136 (vertices), A333137 (edges), A103605 (Pythagorean triple ordering), A007678, A092867, A331452.

Sequence in context: A261703 A266003 A340800 * A361342 A270310 A047652

Adjacent sequences: A333132 A333133 A333134 * A333136 A333137 A333138

Keyword

nonn,tabf

Author

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

Extensions

Corrected typo in a(12) and a(49) and beyond from Lars Blomberg, Jun 07 2020

Status

approved