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A228536 y-values in the solution to the Pell equation x^2 - 53*y^2 = -1. 2
25, 3312425, 438889687625, 58152005827624825, 7705024467709744375225, 1020900331864453704400937225, 135267252163671362458005636062825, 17922640376161227851096377062651249625, 2374714004425343115650896405589159636750425 (list; graph; refs; listen; history; text; internal format)
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: A122500 A251362 A196520 * A191559 A279039 A237522

Adjacent sequences:  A228533 A228534 A228535 * A228537 A228538 A228539

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Aug 24 2013

STATUS

approved

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Last modified August 23 14:32 EDT 2019. Contains 326247 sequences. (Running on oeis4.)