A086326 Markoff numbers (A002559) multiplied by 3.

3, 6, 15, 39, 87, 102, 267, 507, 582, 699, 1299, 1830, 2955, 3975, 4791, 8691, 12543, 17223, 19398, 22683, 27231, 32838, 44103, 85971, 100383, 112998, 129783, 154923, 186630, 225075, 289671, 405411, 585075, 589254, 884055, 1279167, 1498179, 1542687, 1938054, 2777295, 3410067, 3836454

Offset

1,1

Comments

Numbers n such that the Diophantine equation x^2+y^2+z^2 = x*y*z = n can be solved.

A list of x′s in nondecreasing order over all solutions of x^2+y^2+z^2 = x*y*z, with x >= y >= z.

x,y,z is a solution of x^2+y^2+z^2 = 3x*y*z if and only if 3x,3y,3z is a solution of x^2+y^2+z^2 = x*y*z.

Links

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

Example

a(1)=1,a(2)=6,a(3)=15, for (3,3,3), (6,3,3) and (15,6,3) are solutions of x^2+y^2+z^2=x*y*z.

Crossrefs

Sequence in context: A279374 A087124 A327647 * A098701 A218777 A152799

Adjacent sequences: A086323 A086324 A086325 * A086327 A086328 A086329

Keyword

nonn

Author

Antoine Verroken (antoine.verroken(AT)pandora.be), Aug 27 2003

Status

approved