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, 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

Links

Table of n, a(n) for n=1..41.

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

Cf. A227210, A227212, A227214.

Sequence in context: A297154 A305348 A191147 * A271725 A058887 A355656

Adjacent sequences: A227208 A227209 A227210 * A227212 A227213 A227214

Keyword

nonn,more

Author

Shanzhen Gao, Sep 19 2013

Status

approved