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Revision History for A096908

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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 b values.
(history; published version)

#8 by Alois P. Heinz at Sun May 24 08:51:15 EDT 2015

STATUS

editing

approved

#7 by Alois P. Heinz at Sun May 24 08:51:11 EDT 2015

KEYWORD

nonn,look,changed

STATUS

proposed

editing

#6 by Ivan Neretin at Sun May 24 08:47:57 EDT 2015

STATUS

editing

proposed

#5 by Ivan Neretin at Sun May 24 08:46:01 EDT 2015

LINKS

Ivan Neretin, <a href="/A096908/b096908.txt">Table of n, a(n) for n = 1..10000</a>

#4 by Ivan Neretin at Sun May 24 08:45:15 EDT 2015

MATHEMATICA

mx = 50; res = {}; Do[If[GCD[b, c, d] > 1, Continue[]]; If[IntegerQ[a = Sqrt[d^2 - b^2 - c^2]] && a > 0 && a <= b, AppendTo[res, {a, b, c, d}]], {d, mx}, {c, d}, {b, c}]; res[[All, 2]] (* Ivan Neretin, May 24 2015 *)

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 17:29:18 EDT 2012

AUTHOR

_Ray Chandler (rayjchandler(AT)sbcglobal.net), _, Aug 15 2004

Discussion

Fri Mar 30

17:29

OEIS Server: https://oeis.org/edit/global/154

#2 by N. J. A. Sloane at Fri Jan 12 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

AUTHOR

Ray Chandler (RayChandlerrayjchandler(AT)alumni.tcusbcglobal.edunet), Aug 15 2004

#1 by N. J. A. Sloane at Wed Sep 22 03:00:00 EDT 2004

NAME

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 b values.

DATA

2, 3, 4, 4, 6, 6, 4, 10, 5, 9, 12, 10, 6, 6, 11, 13, 8, 5, 13, 14, 6, 15, 12, 14, 10, 14, 10, 7, 16, 12, 16, 18, 21, 14, 6, 20, 20, 16, 17, 8, 7, 8, 18, 17, 18, 10, 24, 21, 24, 8, 22, 22, 26, 14, 19, 14, 24, 24, 24, 24, 12, 25, 30, 18, 18, 7, 9, 28, 28, 20, 16, 19, 8, 27, 21, 27, 18

OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagoreanQuadruple.html">Pythagorean Quadruple.</a>

CROSSREFS

Cf. A096907, A096909, A096910.

KEYWORD

nonn

AUTHOR

Ray Chandler (RayChandler(AT)alumni.tcu.edu), Aug 15 2004

STATUS

approved