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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.
3
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
1,1
EXAMPLE
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.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Shanzhen Gao, Sep 19 2013
STATUS
approved