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Generalized Markoff numbers: largest of 7-tuple of positive numbers 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 = 2abcdefg.
3

%I #15 Jul 07 2023 14:58:02

%S 2,6,15,22,47,82,118,239,262,306,370,527,929,1126,1142,2255,2913,3122,

%T 3606,3809,4262,7078,7215,7314,11522,12626,14159,15906,22934,26977,

%U 28678

%N Generalized Markoff numbers: largest of 7-tuple of positive numbers 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 = 2abcdefg.

%e a(1)=2 and a(2)=6 since (2, 2, 2, 1, 1, 1, 1) and (6, 2, 2, 1, 1, 1, 1) satisfying a^2+b^2+c^2+d^2+e^2+f^2+g^2=2abcdefg with a>=b>=c>=d>=e>=f>=g. a(n) is the first components among all solutions in increasing order.

%Y Cf. A227211, A227212, A227214.

%K nonn,more

%O 1,1

%A _Shanzhen Gao_, Sep 19 2013