A174754 x-values in the solution to x^2-46*y^2=1.

1, 24335, 1184384449, 57643991108495, 2805533046066067201, 136545293294391499564175, 6645659421832501237722330049, 323444243924042541945554303920655

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A174851.

Links

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

Index entries for linear recurrences with constant coefficients, signature (48670,-1).

Formula

a(n) = 48670*a(n-1)-a(n-2) with a(1)=1, a(2)=24335.

G.f.: x*(1-24335*x)/(1-48670*x+x^2).

Mathematica

LinearRecurrence[{48670, -1}, {1, 24335}, 30]

Prog

(Magma)I:=[1, 24335]; [n le 2 select I[n] else 48670*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174851.

Sequence in context: A025041 A156843 A156844 * A206682 A083621 A083622

Adjacent sequences: A174751 A174752 A174753 * A174755 A174756 A174757

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved