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A174753 x-values in the solution to x^2-43*y^2=1. 2


%S 1,3482,24248647,168867574226,1175993762661217,8189620394305140962,

%T 57032515249947238998151,397174428011012178077982602,

%U 2765922659636173558187831842177

%N x-values in the solution to x^2-43*y^2=1.

%C The corresponding values of y of this Pell equation are in A174780.

%H Vincenzo Librandi, <a href="/A174753/b174753.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 (6964,-1).

%F a(n) = 6964*a(n-1)-a(n-2) with a(1)=1, a(2)=3482.

%F G.f.: x*(1-3482*x)/(1-6964*x+x^2).

%t LinearRecurrence[{6964,-1},{1,3482},30]

%o (MAGMA) I:=[1, 3482]; [n le 2 select I[n] else 6964*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174780.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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Last modified June 24 23:57 EDT 2021. Contains 345445 sequences. (Running on oeis4.)