A375463 Numbers appearing on all three positions in ordered primitive Pythagorean triples.

221, 325, 377, 425, 493, 629, 697, 725, 925, 1025, 1073, 1189, 1325, 1517, 1537, 1769, 1885, 1961, 2173, 2257, 2405, 2501, 2665, 2701, 2993, 3145, 3233, 3293, 3445, 3485, 3649, 3869, 3965, 3977, 4453, 4505, 4717, 4745, 5141, 5185, 5353, 5429, 5777, 5785, 5917

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Mathematics Stack Exchange, Is there an integer that serves as the short leg of a primitive Pythagorean triple, the long leg of another, and the hypotenuse of a third?

Rémy Sigrist, PARI program

Formula

a(n) == 1 (mod 4). - Hugo Pfoertner, Aug 18 2024

Example

221 is a term since the following primitive Pythagorean triples have 221 in first, second and third position: (221, 24420, 24421), (60, 221, 229), (21, 220, 221).

Prog

(PARI) \\ See Links section.

Crossrefs

Intersection of A008846, A024352 and A024354.

Cf. A263728.

Sequence in context: A048931 A052478 A257752 * A147284 A171427 A211817

Adjacent sequences: A375460 A375461 A375462 * A375464 A375465 A375466

Keyword

nonn

Author

Piotr Lipski, Aug 16 2024

Extensions

More terms from Rémy Sigrist, Aug 17 2024

Status

approved