A228536 y-values in the solution to the Pell equation x^2 - 53*y^2 = -1.

25, 3312425, 438889687625, 58152005827624825, 7705024467709744375225, 1020900331864453704400937225, 135267252163671362458005636062825, 17922640376161227851096377062651249625, 2374714004425343115650896405589159636750425

Offset

1,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (132498,-1).

Formula

a(n) = 132498*a(n-1)-a(n-2).

G.f.: -25*x*(x-1) / (x^2-132498*x+1).

Mathematica

CoefficientList[Series[-25 (x - 1) / (x^2 - 132498 x + 1), {x, 0, 10}], x] (* Vincenzo Librandi, Aug 25 2013 *)

Prog

(PARI) Vec(-25*x*(x-1)/(x^2-132498*x+1) + O(x^50))

Crossrefs

Cf. A228535 gives the corresponding x-values.

Sequence in context: A347812 A251362 A196520 * A191559 A279039 A237522

Adjacent sequences: A228533 A228534 A228535 * A228537 A228538 A228539

Keyword

nonn,easy

Author

Colin Barker, Aug 24 2013

Status

approved