A202280 y-values in the solutions to x^2 - 151*y^2 = 1.

0, 140634693, 486075138127903440, 1680019594496931198149880507, 5806645138782932871709060110684609120, 20069484831126506853711147766546649419638369093, 69366081749442007616768328339033006654521310003044446320

Offset: 1

Author

Arkadiusz Wesolowski, Dec 15 2011

Keywords

• nonn
• easy

References

• A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1996, p. 248.

Links

• Index entries for linear recurrences with constant coefficients, signature (3456296080, -1).

Crossrefs

Cf. A041277, A082394.

Programs

Mathematica

LinearRecurrence[{3456296080, -1}, {0, 140634693}, 7]

Formula

a(n) = 3456296080*a(n-1) - a(n-2) with a(1) = 0 and a(2) = 140634693.

G.f.: 140634693*x^2/(1 - 3456296080*x + x^2).