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%I #11 Sep 08 2022 08:45:51
%S 1,48,4607,442224,42448897,4074651888,391124132351,37543842053808,
%T 3603817713033217,345928956609135024,33205576016763929087,
%U 3187389368652728057328,305956173814645129574401
%N x-values in the solution to x^2-47*y^2=1.
%C The corresponding values of y of this Pell equation are in A174853.
%H Vincenzo Librandi, <a href="/A174755/b174755.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 (96,-1).
%F a(n) = 96*a(n-1)-a(n-2) with a(1)=1, a(2)=48.
%F G.f.: x*(1-48*x)/(1-96*x+x^2).
%t LinearRecurrence[{96,-1},{1,48},30]
%o (Magma) I:=[1, 48]; [n le 2 select I[n] else 96*Self(n-1)-Self(n-2): n in [1..20]];
%Y Cf. A174853.
%K nonn,easy
%O 1,2
%A _Vincenzo Librandi_, Apr 13 2010
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