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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. 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 24 12:30 EDT 2021. Contains 345416 sequences. (Running on oeis4.)