A364108 a(n) is the larger coefficient of the pair (x, y) such that (x^2-y^2)/r, 2*x*y/r, (x^2+y^2)/r are the 2 legs and hypotenuse of the least Pythagorean triple having area A006991(n).

5, 2, 16, 325, 8, 4, 4, 50, 24336, 4901, 3, 1600, 9, 777925, 1250, 13, 25, 72, 14561856, 1873180325, 125, 12079525, 39200, 9, 192, 7, 3600, 2816, 26, 169000000, 85, 338, 17956, 1444, 14112, 1445, 44715091781, 50, 8780605285453456, 2725, 10, 37, 716311250, 144, 306317326339867638016

Offset

1,1

Links

Michel Marcus, Table of n, a(n) for n = 1..361

Mauro Fiorentini, Numeri congruenti minori di 1000. See column a.

David Goldberg, Triangle Sides for Congruent Numbers less than 10,000, arXiv:2106.07373 [math.NT], 2021. See column P, p. 7.

Hisanori Mishima, Congruum. See column m.

Crossrefs

Cf. A006991 (primitive congruent numbers), A364109 (y), A364110 (r).

Sequence in context: A248258 A279150 A213582 * A367290 A111267 A282067

Adjacent sequences: A364105 A364106 A364107 * A364109 A364110 A364111

Keyword

nonn

Author

Michel Marcus, Jul 05 2023

Status

approved