A196264 Positive integers c in primitive (1/4)-Pythagorean triples (a,b,c) satisfying a<=b, in order of increasing a and then increasing b.

3, 16, 33, 71, 22, 193, 46, 29, 24, 22, 222, 37, 886, 163, 69, 46, 394, 107, 953, 232, 2083, 43, 352, 191, 258, 1104, 421, 3784, 67, 87, 253, 613, 759, 1276, 1797, 317, 2843, 79, 5989, 109, 946, 348, 274, 636, 201, 967, 8698, 1641, 132, 298, 2662, 3687, 5741, 106, 478, 1324, 11911, 1828, 113, 947

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, c), F(a))), a=1..100); # Robert Israel, Dec 25 2024

Mathematica

(See A196259.)

Crossrefs

Cf. A195770, A196259, A196262, A196263, A196261.

Sequence in context: A389152 A339634 A377084 * A396125 A031080 A396132

Adjacent sequences: A196261 A196262 A196263 * A196265 A196266 A196267

Keyword

nonn

Author

Clark Kimberling, Sep 30 2011

Extensions

Corrected by Robert Israel, Dec 25 2024

Status

approved