cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A096908 Primitive Pythagorean Quadruples a^2+b^2+c^2=d^2, 0 gcd(a,b,c,d)=1, sorted by d, then c, then b; sequence gives b values.

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%I A096908 #9 Feb 16 2025 08:32:54
%S A096908 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,
%T A096908 16,12,16,18,21,14,6,20,20,16,17,8,7,8,18,17,18,10,24,21,24,8,22,22,
%U A096908 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
%N A096908 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.
%H A096908 Ivan Neretin, <a href="/A096908/b096908.txt">Table of n, a(n) for n = 1..10000</a>
%H A096908 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanQuadruple.html">Pythagorean Quadruple.</a>
%t A096908 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 *)
%Y A096908 Cf. A096907, A096909, A096910.
%K A096908 nonn,look
%O A096908 1,1
%A A096908 _Ray Chandler_, Aug 15 2004