A196260 Positive integers b in (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b.

2, 4, 15, 32, 6, 70, 20, 192, 8, 30, 44, 10, 26, 64, 20, 12, 17, 45, 140, 220, 14, 40, 384, 32, 96, 884, 16, 60, 160, 18, 88, 210, 64, 20, 39, 52, 75, 128, 391, 60, 576, 22, 40, 102, 950, 228, 2080, 24, 34, 90, 280, 32, 160, 348, 26, 186, 440, 132, 28, 80, 105, 253, 768, 1100, 30, 64, 78, 192

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, [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..40); # Robert Israel, Dec 20 2024

Mathematica

(See A196259.)

Crossrefs

Cf. A195770, A196259, A196261, A196263.

Sequence in context: A154906 A260299 A080623 * A073814 A181442 A007122

Adjacent sequences: A196257 A196258 A196259 * A196261 A196262 A196263

Keyword

nonn

Author

Clark Kimberling, Sep 30 2011

Extensions

Corrected by Robert Israel, Dec 20 2024

Status

approved