%I #11 Aug 21 2018 10:17:56
%S 475,551,799,3076
%N Numerators (denominators are all 840) of x-coordinates of four points on the parabola y = x^2, x >= 0, at rational distances (distance between any two points is rational).
%F The distance formula between points on the parabola y = x^2.
%e We need 6 Pythagorean triples such that the ratios of the sides satisfies
%e (a+d = b+f = c+e) where x1+x2 = a, x2+x3 = b, x1+x3 = c, x3+x4 = d
%e (45/28 + 3551/840 = 171/140 + 775/168 = 91/60 + 1209/280). Solve for x1,x2,... to get the sequence.
%K nonn,full,fini
%O 0,1
%A T. Haj (t.haj(AT)sbcglobal.net), Apr 21 2005