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A174761 x-values in the solution to x^2-59*y^2=1. 2

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

%S 1,530,561799,595506410,631236232801,669109811262650,

%T 709255768702176199,751810445714495508290,796918363201596536611201,

%U 844732713183246614312364770,895415879055878209574570044999

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

%C The corresponding values of y of this Pell equation are in A175049.

%H Vincenzo Librandi, <a href="/A174761/b174761.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)=1, a(2)=5030.

%F G.f.: x*(1-530*x)/(1-1060*x+x^2).

%t LinearRecurrence[{1060,-1},{1,530},30]

%o (Magma) I:=[1, 530]; [n le 2 select I[n] else 1060*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A175049.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)