A097263 Primitive Pythagorean Quadruples a^2+b^2+c^2=d^2, 0<a<=b<=c<=d, gcd(a,b,c,d)=1, sorted by d, then c, then b; sequence gives odd leg values.

1, 3, 7, 1, 7, 9, 3, 11, 5, 9, 1, 15, 17, 1, 11, 13, 19, 5, 13, 3, 3, 15, 9, 7, 23, 23, 25, 7, 21, 11, 3, 21, 21, 27, 5, 17, 25, 7, 17, 31, 7, 1, 15, 17, 1, 33, 27, 21, 3, 3, 19, 29, 29, 13, 19, 35, 23, 31, 9, 33, 39, 25, 7, 9, 39, 7, 9, 29, 35, 37, 13, 19, 5, 27, 21, 27, 11, 21, 43, 23

Offset

1,2

Comments

One of a,b,c is odd, other two are even for primitive Pythagorean quadruples.

Links

Table of n, a(n) for n=1..80.

Eric Weisstein's World of Mathematics, Pythagorean Quadruple.

Crossrefs

Cf. A096907, A096908, A096909.

Sequence in context: A335815 A021733 A021273 * A197021 A291858 A355417

Adjacent sequences: A097260 A097261 A097262 * A097264 A097265 A097266

Keyword

nonn

Author

Ray Chandler, Aug 15 2004

Status

approved