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A174747 x-values in the solution to x^2-37*y^2=1.

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%I A174747 #21 Mar 17 2023 04:22:31
%S A174747 1,73,10657,1555849,227143297,33161365513,4841332221601,
%T A174747 706801342988233,103188154744060417,15064763791289832649,
%U A174747 2199352325373571506337,321090374740750150092553,46876995359824148342006401
%N A174747 x-values in the solution to x^2-37*y^2=1.
%C A174747 The corresponding values of y of this Pell equation are in A174775
%H A174747 Vincenzo Librandi, <a href="/A174747/b174747.txt">Table of n, a(n) for n = 1..200</a>
%H A174747 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (146,-1).
%F A174747 a(n) = 146*a(n-1)-a(n-2) with a(1)=1, a(2)=73.
%F A174747 G.f.: x*(1-73*x)/(1-146*x+x^2). - _Bruno Berselli_, Apr 18 2011
%t A174747 LinearRecurrence[{146,-1},{1,73},30]
%o A174747 (Magma) I:=[1, 73]; [n le 2 select I[n] else 146*Self(n-1)-Self(n-2): n in [1..20]];
%Y A174747 Cf. A174775, Row 6 of array A188645.
%K A174747 nonn,easy
%O A174747 1,2
%A A174747 _Vincenzo Librandi_, Apr 12 2010