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

%I

%S 25,3312425,438889687625,58152005827624825,7705024467709744375225,

%T 1020900331864453704400937225,135267252163671362458005636062825,

%U 17922640376161227851096377062651249625,2374714004425343115650896405589159636750425

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

%H Vincenzo Librandi, <a href="/A228536/b228536.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (132498,-1).

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

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

%t CoefficientList[Series[-25 (x - 1) / (x^2 - 132498 x + 1), {x, 0, 10}], x] (* _Vincenzo Librandi_, Aug 25 2013 *)

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

%Y Cf. A228535 gives the corresponding x-values.

%K nonn,easy

%O 1,1

%A _Colin Barker_, Aug 24 2013

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Last modified September 15 14:38 EDT 2019. Contains 327078 sequences. (Running on oeis4.)