A176384 y-values in the solution to x^2-73*y^2=1.

0, 267000, 1218186966000, 5557975596000801000, 25358252540801244373932000, 115696976500895037877980001335000, 527867223891355250275667198886560898000

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A176382.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..150

Index entries for linear recurrences with constant coefficients, signature (4562498,-1).

Formula

a(n) = 4562498*a(n-1)-a(n-2) with a(1)=0, a(2)=267000.

G.f.: 267000*x^2/(1-4562498*x+x^2).

Mathematica

LinearRecurrence[{4562498, -1}, {0, 267000}, 20]

Prog

(Magma) I:=[0, 267000]; [n le 2 select I[n] else 4562498*Self(n-1)-Self(n-2): n in [1..10]];

Crossrefs

Cf. A176382.

Sequence in context: A043629 A234182 A075466 * A235821 A203793 A231197

Adjacent sequences: A176381 A176382 A176383 * A176385 A176386 A176387

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 16 2010

Status

approved