A309424 Sum x+y of generator pairs (x, y) {x and y coprime and not both odd} of primitive Pythagorean triangles, sorted by x and y (for same x).

3, 5, 5, 7, 7, 9, 7, 11, 9, 11, 13, 9, 11, 13, 15, 11, 13, 17, 11, 13, 17, 19, 13, 15, 17, 19, 21, 13, 17, 19, 23, 15, 17, 19, 21, 23, 25, 15, 17, 19, 23, 25, 27, 17, 19, 23, 29, 17, 19, 21, 23, 25, 27, 29, 31, 19, 21, 23, 25, 27, 29, 31, 33, 19, 23, 25, 29, 31, 35, 21, 23, 25, 27, 29, 31, 33, 35, 37, 21, 23, 27, 29, 31, 33, 37, 39

Offset

1,1

Comments

This sequence is based on x and y (for same x) in increasing order, directly mapping to A094192 and A094193, while A126611 is sorted by the sum x+y.

Given any 2 of below 4 sequences, primitive Pythagorean triangles can be generated.

A094192: the bigger one in generator pairs;

A094193: the smaller one in generator pairs;

A309424: the sum of generator pairs;

A309425: the difference of generator pairs.

Links

Table of n, a(n) for n=1..86.

Formula

a(n) = A094192(n) + A094193(n).

Crossrefs

Cf. A094192, A094193, A126611, A309425.

Sequence in context: A103332 A195796 A279944 * A079886 A338363 A346563

Adjacent sequences: A309421 A309422 A309423 * A309425 A309426 A309427

Keyword

nonn

Author

Rui Lin, Jul 31 2019

Status

approved