A174761 x-values in the solution to x^2-59*y^2=1.

1, 530, 561799, 595506410, 631236232801, 669109811262650, 709255768702176199, 751810445714495508290, 796918363201596536611201, 844732713183246614312364770, 895415879055878209574570044999

Offset

1,2

Comments

The corresponding values of y of this Pell equation are in A175049.

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)=1, a(2)=5030.

G.f.: x*(1-530*x)/(1-1060*x+x^2).

Mathematica

LinearRecurrence[{1060, -1}, {1, 530}, 30]

Prog

(Magma) I:=[1, 530]; [n le 2 select I[n] else 1060*Self(n-1)-Self(n-2): n in [1..20]];

Crossrefs

Cf. A175049.

Sequence in context: A031724 A251004 A098259 * A031967 A345387 A031521

Adjacent sequences: A174758 A174759 A174760 * A174762 A174763 A174764

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 13 2010

Status

approved