A174851 y-values in the solution to x^2-46*y^2=1.

0, 3588, 174627960, 8499142809612, 413653280369188080, 20132505147069241043988, 979849025094206681241707880, 47689252031202534028964681475612, 2321035895378778306095504366176328160

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174754.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (48670,-1).

Formula

a(n) = 48670*a(n-1)-a(n-2) with a(1)=0, a(2)=3588.

G.f.: 3588*x^2/(1-48670*x+x^2).

Mathematica

LinearRecurrence[{48670, -1}, {0, 3588}, 30]

Prog

(Magma) I:=[0, 3588]; [n le 2 select I[n] else 48670*Self(n-1)-Self(n-2): n in [1..15]];

Crossrefs

Cf. A174754.

Sequence in context: A249289 A249537 A156845 * A342970 A284970 A183007

Adjacent sequences: A174848 A174849 A174850 * A174852 A174853 A174854

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 15 2010

Status

approved