A097265 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 long even leg values.

2, 6, 4, 8, 6, 6, 12, 10, 14, 12, 12, 10, 6, 18, 16, 16, 8, 20, 18, 18, 22, 16, 20, 22, 10, 14, 10, 26, 16, 24, 24, 18, 22, 14, 30, 20, 20, 28, 28, 8, 32, 32, 26, 30, 30, 10, 24, 28, 28, 36, 26, 22, 26, 34, 34, 14, 24, 24, 32, 24, 12, 30, 30, 38, 18, 42, 42, 28, 28, 20, 40, 40

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..72.

Eric Weisstein's World of Mathematics, Pythagorean Quadruple.

Crossrefs

Cf. A096907, A096908, A096909.

Sequence in context: A345974 A378268 A204906 * A352768 A352867 A324651

Adjacent sequences: A097262 A097263 A097264 * A097266 A097267 A097268

Keyword

nonn

Author

Ray Chandler, Aug 15 2004

Status

approved