A097264 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 short even leg values.

2, 2, 4, 4, 6, 2, 4, 2, 2, 8, 12, 6, 6, 6, 8, 4, 4, 4, 6, 14, 6, 12, 12, 14, 10, 2, 2, 2, 12, 12, 16, 14, 6, 6, 6, 20, 8, 16, 4, 8, 4, 8, 18, 6, 18, 6, 8, 12, 24, 8, 22, 14, 2, 14, 2, 10, 24, 12, 24, 4, 4, 18, 30, 18, 2, 6, 2, 20, 4, 16, 16, 8, 8, 18, 18, 6, 18, 2, 6, 24, 12, 32, 4, 24, 12

Offset

1,1

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..85.

Eric Weisstein's World of Mathematics, Pythagorean Quadruple.

Crossrefs

Cf. A096907, A096908, A096909.

Sequence in context: A240027 A203555 A096197 * A339810 A324104 A278233

Adjacent sequences: A097261 A097262 A097263 * A097265 A097266 A097267

Keyword

nonn

Author

Ray Chandler, Aug 15 2004

Status

approved