A174760 x-values in the solution to x^2-58*y^2=1.

1, 19603, 768555217, 30131975818099, 1181354243155834177, 46316174427035658925363, 1815871933405005800671947601, 71193074974760482994108718719443

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A175016.

Links

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

Index entries for linear recurrences with constant coefficients, signature (39206,-1).

Formula

a(n) = 39206*a(n-1)-a(n-2) with a(1)=1, a(2)=19603.

G.f.: x*(1-19603*x)/(1-39206*x+x^2).

Mathematica

LinearRecurrence[{39206, -1}, {1, 19603}, 30]

Prog

(Magma) I:=[1, 19603]; [n le 2 select I[n] else 39206*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A175016.

Sequence in context: A221333 A069369 A156721 * A115472 A022234 A082890

Adjacent sequences: A174757 A174758 A174759 * A174761 A174762 A174763

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved