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A175049 y-values in the solution to x^2-59*y^2=1. 2

%I #11 Sep 08 2022 08:45:51

%S 0,69,73140,77528331,82179957720,87110677654869,92337236134203420,

%T 97877383191577970331,103749933845836514347440,

%U 109974831999203513630316069,116573218169221878611620685700

%N y-values in the solution to x^2-59*y^2=1.

%C The corresponding values of x of this Pell equation are in A174761.

%H Vincenzo Librandi, <a href="/A175049/b175049.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 (1060,-1).

%F a(n) = 1060*a(n-1)-a(n-2) with a(1)=0, a(2)=69.

%F G.f.: 69*x^2/(1-1060*x+x^2).

%t LinearRecurrence[{1060,-1},{0,69},30]

%o (Magma) I:=[0, 69]; [n le 2 select I[n] else 1060*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174761.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 15 2010

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Last modified April 24 19:39 EDT 2024. Contains 371963 sequences. (Running on oeis4.)