A174753 x-values in the solution to x^2-43*y^2=1.

1, 3482, 24248647, 168867574226, 1175993762661217, 8189620394305140962, 57032515249947238998151, 397174428011012178077982602, 2765922659636173558187831842177

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A174780.

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)=1, a(2)=3482.

G.f.: x*(1-3482*x)/(1-6964*x+x^2).

Mathematica

LinearRecurrence[{6964, -1}, {1, 3482}, 30]

Prog

(Magma) I:=[1, 3482]; [n le 2 select I[n] else 6964*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174780.

Sequence in context: A159215 A176380 A156773 * A031557 A031737 A268156

Adjacent sequences: A174750 A174751 A174752 * A174754 A174755 A174756

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved