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Generalized Markoff numbers: largest of 6-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 = 3abcdefg.
3

%I #12 Jul 07 2023 14:57:47

%S 3,7,17,18,47,62,99,123,151,305,322,377,551,577,843,1299,1342,2207,

%T 2537,3363,3905,4897,5047,5473,5778,7698,7899,10097,11927,15127,17342,

%U 19601,20351,23102,27217,31107,39603,43522,46663,93329,98209

%N Generalized Markoff numbers: largest of 6-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 = 3abcdefg.

%e a(1)=3 and a(2)=7 since (3, 2, 1, 1, 1, 1, 1) and (7, 3, 1, 1, 1, 1, 1) satisfying a^2+b^2+c^2+d^2+e^2+f^2+g^2=3abcdefg with a>=b>=c>=d>=e>=f>=g. a(n) is the first components among all solutions in increasing order.

%Y Cf. A227210, A227212, A227214.

%K nonn,more

%O 1,1

%A _Shanzhen Gao_, Sep 19 2013

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