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Largest number in an integer 7-tuple (a, b, c, d, e, f, g) satisfying the Markoff(7) equation a^2+b^2+c^2+d^2+e^2+f^2+g^2 = a*b*c*d*e*f*g.
1

%I #12 Feb 05 2014 20:57:18

%S 3,5,10,18,23,37,39,58,67,119,138,178,181,250,274,307,338,359,515,551,

%T 738,778,933,1157,1418,1425,1479,1559,1738,1762,1922,1970,2410,2417,

%U 3265

%N Largest number in an integer 7-tuple (a, b, c, d, e, f, g) satisfying the Markoff(7) equation a^2+b^2+c^2+d^2+e^2+f^2+g^2 = a*b*c*d*e*f*g.

%e 3 and 5 are in the sequence since (3, 2, 2, 2, 1, 1, 1) and (5, 2, 2, 2, 1, 1, 1) satisfy a^2+b^2+c^2+d^2+e^2+f^2+g^2 = a*b*c*d*e*f*g with a >= b >= c >= d >= e >= f >= g.

%Y Cf. A002559.

%K nonn

%O 1,1

%A _Shanzhen Gao_, Sep 19 2013