A196263 Positive integers b in primitive (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b.

2, 15, 32, 70, 20, 192, 44, 26, 20, 17, 220, 32, 884, 160, 64, 39, 391, 102, 950, 228, 2080, 32, 348, 186, 253, 1100, 416, 3780, 55, 77, 247, 608, 754, 1271, 1792, 310, 2838, 64, 5984, 96, 940, 340, 265, 629, 190, 960, 8692, 1634, 115, 287, 2655, 3680, 5734, 84, 468, 1316, 11904, 1820, 90, 938

Offset

1,1

Comments

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Maple

F:= proc(a)
  sort(select(t -> subs(t, b) >= a and subs(t, c) > 0 and igcd(a, subs(t, b), subs(t, c)) = 1, [isolve](4*a^2 + 4*b^2 + a*b = 4*c^2)), (s, t) -> subs(s, b) <= subs(t, b))
end proc:
seq(op(map(t -> subs(t, b), F(a))), a=1..100); # Robert Israel, Dec 20 2024

Mathematica

(See A196259.)

Crossrefs

Cf. A195770, A196259, A196262, A196264, A196260.

Sequence in context: A076352 A154790 A042461 * A045486 A243469 A366330

Adjacent sequences: A196260 A196261 A196262 * A196264 A196265 A196266

Keyword

nonn

Author

Clark Kimberling, Sep 30 2011

Extensions

Corrected by Robert Israel, Dec 25 2024

Status

approved