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A174765 y-values in the solution to x^2 - 19*y^2 = 1.

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%I A174765 #13 Sep 08 2022 08:45:51
%S A174765 0,39,13260,4508361,1532829480,521157514839,177192022215780,
%T A174765 60244766395850361,20483043382566906960,6964174505306352516039,
%U A174765 2367798848760777288546300,805044644404158971753225961
%N A174765 y-values in the solution to  x^2 - 19*y^2 = 1.
%C A174765 The corresponding values of x of this Pell equation are in A114048.
%H A174765 Vincenzo Librandi, <a href="/A174765/b174765.txt">Table of n, a(n) for n = 1..200</a>
%H A174765 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (340,-1).
%F A174765 a(n) = 340*a(n-1)-a(n-2) with a(1)=0, a(2)=39.
%F A174765 G.f.: 39*x^2/(1-340*x+x^2).
%t A174765 LinearRecurrence[{340,-1},{0,39},30]
%o A174765 (Magma) I:=[0, 39]; [n le 2 select I[n] else 340*Self(n-1)-Self(n-2): n in [1..20]];
%Y A174765 Cf. A114048.
%K A174765 nonn,easy
%O A174765 1,2
%A A174765 _Vincenzo Librandi_, Apr 14 2010