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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 = 7abcdefg.
3

%I #17 Jul 07 2023 14:57:39

%S 1,6,41,281,1721,1926,13201,72241,80646,90481,493921,620166,2963561,

%T 3032401,3788441,4250681,23145121,29134601,127288601,141753606,

%U 158630641,177975881,199691526,870287321

%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 = 7abcdefg.

%C For n = 1, 2, 3, 4, 6, 7, 10, 12, 16, 18, 23, a(n) is in A049685.

%e a(1)=1 and a(2)=6 since (1, 1, 1, 1, 1, 1, 1) and (6, 1, 1, 1, 1, 1, 1) satisfying a^2+b^2+c^2+d^2+e^2+f^2+g^2=7abcdefg.

%Y Cf. A049685, A000032.

%Y Cf. A227210, A227211, A227212.

%K nonn,more

%O 1,2

%A _Shanzhen Gao_, Sep 19 2013