A227210 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 = 2abcdefg.

2, 6, 15, 22, 47, 82, 118, 239, 262, 306, 370, 527, 929, 1126, 1142, 2255, 2913, 3122, 3606, 3809, 4262, 7078, 7215, 7314, 11522, 12626, 14159, 15906, 22934, 26977, 28678

Offset

1,1

Links

Table of n, a(n) for n=1..31.

Example

a(1)=2 and a(2)=6 since (2, 2, 2, 1, 1, 1, 1) and (6, 2, 2, 1, 1, 1, 1) satisfying a^2+b^2+c^2+d^2+e^2+f^2+g^2=2abcdefg with a>=b>=c>=d>=e>=f>=g. a(n) is the first components among all solutions in increasing order.

Crossrefs

Cf. A227211, A227212, A227214.

Sequence in context: A013636 A144653 A276782 * A177442 A349687 A090979

Adjacent sequences: A227207 A227208 A227209 * A227211 A227212 A227213

Keyword

nonn,more

Author

Shanzhen Gao, Sep 19 2013

Status

approved