A229242 Generalized Markoff numbers: union of numbers a, b, c, d, e satisfying the Markoff(5) equation a^2 + b^2 + c^2 + d^2 + e^2 = 5*a*b*c*d*e.

1, 4, 19, 91, 379, 436, 2089, 7561, 8644, 10009, 36001, 47956, 144019, 150841, 198379, 229771, 821089, 1100899, 3009259, 3419716, 3933001, 4554019, 5274724, 14328091, 25272721, 54726841, 57312379, 60034339, 68221876, 74727379, 77994811, 90262009, 104544004

Offset

1,2

Links

Table of n, a(n) for n=1..33.

Example

a(1)=1 since (1, 1, 1, 1, 1) is a solution to a^2 + b^2 + c^2 + d^2 + e^2 = 5*a*b*c*d*e. a(2)=4 since (4, 1, 1, 1, 1) is a solution. a(3)=19 since (19,4,1,1,1) is a solution. a(n) is the n-th leading term (that is a's) among all the solutions with a >= b >= c >= d >= e.

Crossrefs

Sequence in context: A181880 A291016 A010907 * A087449 A004253 A218988

Adjacent sequences: A229239 A229240 A229241 * A229243 A229244 A229245

Keyword

nonn

Author

Shanzhen Gao, Sep 17 2013

Status

approved