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 A309425 Difference x-y of generator pairs (x,y) {x and y coprime and not both odd, x > y} of primitive Pythagorean triangles, sorted by x and y (for same x). 2
 1, 1, 3, 1, 3, 1, 5, 1, 5, 3, 1, 7, 5, 3, 1, 7, 5, 1, 9, 7, 3, 1, 9, 7, 5, 3, 1, 11, 7, 5, 1, 11, 9, 7, 5, 3, 1, 13, 11, 9, 5, 3, 1, 13, 11, 7, 1, 15, 13, 11, 9, 7, 5, 3, 1, 15, 13, 11, 9, 7, 5, 3, 1, 17, 13, 11, 7, 5, 1, 17, 15, 13, 11, 9, 7, 5, 3, 1, 19, 17, 13, 11, 9, 7, 3, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This sequence is based on x and y (for same x) in increasing order, directly mapping to A094192 and A094193, while A126637 is sorted by the sum x+y. Given any two of the four sequences below, 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, A126637, A309424. Sequence in context: A216319 A355001 A337713 * A218355 A103790 A249947 Adjacent sequences: A309422 A309423 A309424 * A309426 A309427 A309428 KEYWORD nonn AUTHOR Rui Lin, Jul 31 2019 STATUS approved

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Last modified June 8 02:04 EDT 2023. Contains 363157 sequences. (Running on oeis4.)