A229241 Generalized Markoff numbers: largest number a in a 5-tuple a >= b >= c >= d >= e satisfying the Markoff(5) equation a^2 + b^2 + c^2 + d^2 + e^2 = 4*a*b*c*d*e.

2, 7, 26, 55, 97, 362, 433, 727, 1351, 1538, 3079, 3409, 5042, 10087, 18817, 20330, 26839, 43009, 70226, 75601, 95258, 140455, 172369, 190519, 211303, 262087, 338353, 529255, 568513, 978122, 1048951, 1202714, 1354753, 1663585, 1956247, 2368519, 3650401, 3913730, 4741658, 5904386, 7861777, 9483319

Offset

1,1

Links

Table of n, a(n) for n=1..42.

Example

a(1)=2 since (2, 1, 1, 1, 1) is a solution of a^2 + b^2 + c^2 + d^2 + e^2 = 4*a*b*c*d*e. a(2)=7 since (7, 2, 1, 1, 1) is a solution. a(3)=26 since (26,7,1,1,1) is a solution.

Crossrefs

Sequence in context: A012990 A137102 A294681 * A335179 A091145 A261332

Adjacent sequences: A229238 A229239 A229240 * A229242 A229243 A229244

Keyword

nonn

Author

Shanzhen Gao, Sep 17 2013

Status

approved