A227211
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.
Original entry on oeis.org
3, 7, 17, 18, 47, 62, 99, 123, 151, 305, 322, 377, 551, 577, 843, 1299, 1342, 2207, 2537, 3363, 3905, 4897, 5047, 5473, 5778, 7698, 7899, 10097, 11927, 15127, 17342, 19601, 20351, 23102, 27217, 31107, 39603, 43522, 46663, 93329, 98209
Offset: 1
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.
A227212
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 = 5abcdefg.
Original entry on oeis.org
2, 3, 9, 14, 43, 67, 89, 206, 209, 321, 881, 987, 1538, 1934, 3121, 4003, 4689, 4729, 7369, 8009, 8721, 14627, 22658, 35307, 43889, 44289, 46606, 86329, 86987
Offset: 1
a(1)=2 and a(2)=3 since (2, 1, 1, 1, 1, 1, 1) and (3, 1, 1, 1, 1, 1, 1) satisfying a^2+b^2+c^2+d^2+e^2+f^2+g^2=5abcdefg.
A227214
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.
Original entry on oeis.org
1, 6, 41, 281, 1721, 1926, 13201, 72241, 80646, 90481, 493921, 620166, 2963561, 3032401, 3788441, 4250681, 23145121, 29134601, 127288601, 141753606, 158630641, 177975881, 199691526, 870287321
Offset: 1
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.
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