A364109 a(n) is the lesser 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).

4, 1, 9, 36, 1, 1, 3, 49, 17689, 4900, 2, 81, 8, 1764, 289, 12, 16, 49, 2289169, 1158313156, 44, 10227204, 22801, 4, 169, 2, 121, 2809, 1, 166952241, 36, 49, 169, 75, 529, 76, 3975302500, 1, 7551929273974569, 1764, 1, 12, 19298449, 25, 305111826865145547009, 143811, 14161, 3136, 1, 1

Offset: 1

Author

Michel Marcus, Jul 05 2023

Keywords

• nonn

Links

• Michel Marcus, Table of n, a(n) for n = 1..361
• Mauro Fiorentini, Numeri congruenti minori di 1000. See column b.
• David Goldberg, Triangle Sides for Congruent Numbers less than 10,000, arXiv:2106.07373 [math.NT], 2021. See column Q, p. 7.
• Hisanori Mishima, Congruum. See column n.

Crossrefs

Cf. A006991 (primitive congruent numbers), A364108 (x), A364110 (r).