A175049 y-values in the solution to x^2-59*y^2=1.

0, 69, 73140, 77528331, 82179957720, 87110677654869, 92337236134203420, 97877383191577970331, 103749933845836514347440, 109974831999203513630316069, 116573218169221878611620685700

Offset

1,2

Comments

The corresponding values of x of this Pell equation are in A174761.

Links

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

Index entries for linear recurrences with constant coefficients, signature (1060,-1).

Formula

a(n) = 1060*a(n-1)-a(n-2) with a(1)=0, a(2)=69.

G.f.: 69*x^2/(1-1060*x+x^2).

Mathematica

LinearRecurrence[{1060, -1}, {0, 69}, 30]

Prog

(Magma) I:=[0, 69]; [n le 2 select I[n] else 1060*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A174761.

Sequence in context: A297768 A268847 A211212 * A116099 A116238 A136114

Adjacent sequences: A175046 A175047 A175048 * A175050 A175051 A175052

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 15 2010

Status

approved