A174780 y-values in the solution to x^2-43*y^2=1.

0, 531, 3697884, 25752063645, 179337367525896, 1248905401698276099, 8697377038089427227540, 60568532444349369514312461, 421799251245071971208244750864, 2937409925102148763144846930704435, 20456122296612112741468742817180934476

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174753.

Links

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

Index entries for linear recurrences with constant coefficients, signature (6964,-1).

Formula

a(n) = 6964*a(n-1)-a(n-2) with a(1)=0, a(2)=531.

G.f.: 531*x^2/(1-6964*x+x^2).

Mathematica

LinearRecurrence[{6964, -1}, {0, 531}, 20] (* Harvey P. Dale, Nov 21 2011 *)

Prog

(Magma) I:=[0, 531]; [n le 2 select I[n] else 6964*Self(n-1)-Self(n-2): n in [1..15]];

Crossrefs

Cf. A174753.

Sequence in context: A225937 A225936 A098257 * A191950 A333102 A048055

Adjacent sequences: A174777 A174778 A174779 * A174781 A174782 A174783

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 15 2010

Extensions

More terms from Harvey P. Dale, Nov 21 2011

Status

approved