A174769 x-values in the solution to x^2 - 29*y^2 = 1.

1, 9801, 192119201, 3765920568201, 73819574785756801, 1447011301184484245001, 28364315451998685384752801, 555997310043066929727440160201, 10898659243099882504518596635507201

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A174770.

Links

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

Index entries for linear recurrences with constant coefficients, signature (19602,-1).

Formula

a(n) = 19602*a(n-1)-a(n-2) with a(1)=1, a(2)=9801.

G.f.: x*(1-9801*x)/(1-19602*x+x^2).

Mathematica

LinearRecurrence[{19602, -1}, {1, 9801}, 30]

Prog

(Magma) I:=[1, 9801]; [n le 2 select I[n] else 19602*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174770.

Sequence in context: A350918 A113937 A036353 * A031597 A031777 A237064

Adjacent sequences: A174766 A174767 A174768 * A174770 A174771 A174772

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 14 2010

Status

approved