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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). 2
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 (list; graph; refs; listen; history; text; internal format)
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 A087243 A112276

Adjacent sequences:  A309421 A309422 A309423 * A309425 A309426 A309427

KEYWORD

nonn

AUTHOR

Rui Lin, Jul 31 2019

STATUS

approved

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Last modified February 16 21:46 EST 2020. Contains 331975 sequences. (Running on oeis4.)