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%I
%S 60,480,780,1620,2040,3840,4200,6240,7500,12180,12960,14760,15540,
%T 16320,20580,21060,30720,33600,40260,43740,49920,55080,60000,65520,
%U 66780,79860,92820,97440,97500,103680,113400,118080,120120,124320
%N Saint-Exupery numbers: ordered products of the three sides of Pythagorean triangles.
%C It is an open question whether any two distinct Pythagorean Triples can have the same product of their sides.
%D R. K. Guy, "Triangles with Integer Sides, Medians and Area." D21 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 188-190, 1994.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple.</a>
%H N. des Vallieres and F. D'Agay, SCOMASE, <a href="http://www.saint-exupery.org/home/fr_inv_math1.htm">Le Probleme du Pharaon</a>
%F a(n) =60*A057097(n) =A057098(n)*A057099(n)*A057100(n)
%e a(1)=3*4*5=60
%t k=5000000;lst={};Do[Do[If[IntegerQ[a=Sqrt[c^2-b^2]],If[a>=b,Break[]];x=a*b*c;If[x<=k,AppendTo[lst,x]]],{b,c-1,4,-1}],{c,5,400,1}];Union@lst [From _Vladimir Joseph Stephan Orlovsky_, Sep 05 2009]
%Y Cf. A009004, A009012, A009111, A020886.
%K nonn
%O 1,1
%A _Henry Bottomley_, Aug 01 2000
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