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A174760 x-values in the solution to x^2-58*y^2=1. 2

%I #10 Sep 08 2022 08:45:51

%S 1,19603,768555217,30131975818099,1181354243155834177,

%T 46316174427035658925363,1815871933405005800671947601,

%U 71193074974760482994108718719443

%N x-values in the solution to x^2-58*y^2=1.

%C The corresponding values of y of this Pell equation are in A175016.

%H Vincenzo Librandi, <a href="/A174760/b174760.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 (39206,-1).

%F a(n) = 39206*a(n-1)-a(n-2) with a(1)=1, a(2)=19603.

%F G.f.: x*(1-19603*x)/(1-39206*x+x^2).

%t LinearRecurrence[{39206,-1},{1,19603},30]

%o (Magma) I:=[1, 19603]; [n le 2 select I[n] else 39206*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A175016.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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