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A228544 x-values in the solution to the Pell equation x^2 - 61*y^2 = -1. 2

%I #14 Jun 13 2015 00:54:44

%S 29718,104982939026082,370866730043548288842318,

%T 1310137939832519884162097942405082,

%U 4628243199887591481762707268904054133171718,16349908254732334984625073953919472453334678640507282,57758308799472135354556537295795833330948905641138816306457918

%N x-values in the solution to the Pell equation x^2 - 61*y^2 = -1.

%C All terms are multiples of 29718.

%H Colin Barker, <a href="/A228544/b228544.txt">Table of n, a(n) for n = 1..100</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3532638098,-1).

%F a(n) = 3532638098*a(n-1)-a(n-2).

%F G.f.: 29718*x*(x+1) / (x^2-3532638098*x+1).

%o (PARI) Vec(29718*x*(x+1)/(x^2-3532638098*x+1) + O(x^20))

%Y Cf. A228545 gives the corresponding y-values.

%K nonn,easy

%O 1,1

%A _Colin Barker_, Aug 25 2013

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)