A228537 x-values in the solution to the Pell equation x^2 - 58*y^2 = -1.

99, 3881493, 152177814459, 5966283389798061, 233914106428244965107, 9170836450659488712186981, 359551813650641808021757811979, 14096588396816226274641548064261693, 552670844326025153672954725385686123779, 21668013108549553778085636688829662104617781

Offset

1,1

Comments

All terms are multiples of 99.

Links

Colin Barker, 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).

G.f.: 99*x*(x+1) / (x^2-39206*x+1).

Mathematica

LinearRecurrence[{39206, -1}, {99, 3881493}, 20] (* Harvey P. Dale, Aug 25 2017 *)

Prog

(PARI) Vec(99*x*(x+1)/(x^2-39206*x+1) + O(x^50))

Crossrefs

Cf. A228538 gives the corresponding y-values.

Sequence in context: A233236 A233110 A233214 * A093211 A010114 A287284

Adjacent sequences: A228534 A228535 A228536 * A228538 A228539 A228540

Keyword

nonn,easy

Author

Colin Barker, Aug 24 2013

Status

approved