A176364 y-values in the solution to x^2-61*y^2=1.

0, 226153980, 798920165762330040, 2822295814832482312327709940, 9970149719303180503641083029374964080, 35220930741174421456911021812718768924061809900, 124422801783292138491822391332416163557158135530198606120, 439540729839560148264883110329183900316105008371908256561946149860

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174762.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..100

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Index entries for linear recurrences with constant coefficients, signature (3532638098,-1).

Formula

a(n) = 3532638098*a(n-1)-a(n-2) with a(1)=0, a(2)=226153980.

G.f.: 226153980*x^2/(1-3532638098*x+x^2).

Mathematica

LinearRecurrence[{3532638098, -1}, {0, 226153980}, 20]

Prog

(Magma) I:=[0, 226153980]; [n le 2 select I[n] else 3532638098*Self(n-1)-Self(n-2): n in [1..10]];

Crossrefs

Cf. A174762.

Sequence in context: A391429 A391430 A336679 * A283073 A328374 A322061

Adjacent sequences: A176361 A176362 A176363 * A176365 A176366 A176367

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 16 2010

Status

approved