A196261 Positive integers c in (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b.

3, 6, 16, 33, 9, 71, 22, 193, 12, 32, 46, 15, 29, 66, 24, 18, 22, 48, 142, 222, 21, 44, 386, 37, 99, 886, 24, 64, 163, 27, 92, 213, 69, 30, 46, 58, 80, 132, 394, 66, 579, 33, 48, 107, 953, 232, 2083, 36, 44, 96, 284, 43, 165, 352, 39, 191, 444, 138, 42, 88, 112, 258, 772, 1104, 45, 74, 87, 198

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, c), F(a))), a=1..60); # Robert Israel, Dec 20 2024

Mathematica

(See A196259.)

Crossrefs

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

Sequence in context: A295062 A291611 A308401 * A229180 A219810 A364319

Adjacent sequences: A196258 A196259 A196260 * A196262 A196263 A196264

Keyword

nonn

Author

Clark Kimberling, Sep 30 2011

Status

approved