A174757 x-values in the solution to x^2-53*y^2=1.

1, 66249, 8777860001, 1163048894346249, 154101652394311440001, 20418160737778428282906249, 2705365461280064538234200740001, 358455512868267830449176701365746249

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A174983.

Links

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

Index entries for linear recurrences with constant coefficients, signature (132498,-1).

Formula

a(n) = 132498*a(n-1)-a(n-2) with a(1)=1, a(2)=66249.

G.f.: x*(1-66249*x)/(1-132498*x+x^2)

Mathematica

LinearRecurrence[{132498, -1}, {1, 66249}, 30]

Prog

(Magma) I:=[1, 66249]; [n le 2 select I[n] else 132498*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174983.

Sequence in context: A092376 A251333 A157620 * A164129 A043591 A022256

Adjacent sequences: A174754 A174755 A174756 * A174758 A174759 A174760

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved