A174855 y-values in the solution to x^2-51*y^2=1.

0, 7, 700, 69993, 6998600, 699790007, 69972002100, 6996500419993, 699580069997200, 69951010499300007, 6994401469860003500, 699370195975501049993, 69930025196080244995800

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174756.

Links

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

Index entries for linear recurrences with constant coefficients, signature (100,-1).

Formula

a(n) = 100*a(n-1)-a(n-2) with a(1)=0, a(2)=7.

G.f.: 7*x^2/(1-100*x+x^2).

Mathematica

LinearRecurrence[{100, -1}, {0, 7}, 230]

Prog

(Magma) I:=[0, 7]; [n le 2 select I[n] else 100*Self(n-1)-Self(n-2): n in [1..20]]

Crossrefs

Cf. A174756.

Sequence in context: A144957 A163016 A261696 * A186160 A129291 A229149

Adjacent sequences: A174852 A174853 A174854 * A174856 A174857 A174858

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 15 2010

Status

approved