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

%I #16 Aug 25 2017 17:11:48

%S 99,3881493,152177814459,5966283389798061,233914106428244965107,

%T 9170836450659488712186981,359551813650641808021757811979,

%U 14096588396816226274641548064261693,552670844326025153672954725385686123779,21668013108549553778085636688829662104617781

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

%C All terms are multiples of 99.

%H Colin Barker, <a href="/A228537/b228537.txt">Table of n, a(n) for n = 1..200</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (39206,-1).

%F a(n) = 39206*a(n-1)-a(n-2).

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

%t LinearRecurrence[{39206,-1},{99,3881493},20] (* _Harvey P. Dale_, Aug 25 2017 *)

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

%Y Cf. A228538 gives the corresponding y-values.

%K nonn,easy

%O 1,1

%A _Colin Barker_, Aug 24 2013

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Last modified June 14 14:31 EDT 2024. Contains 373400 sequences. (Running on oeis4.)