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A174855 y-values in the solution to x^2-51*y^2=1. 2

%I #14 Sep 08 2022 08:45:51

%S 0,7,700,69993,6998600,699790007,69972002100,6996500419993,

%T 699580069997200,69951010499300007,6994401469860003500,

%U 699370195975501049993,69930025196080244995800

%N y-values in the solution to x^2-51*y^2=1.

%C The corresponding values of x of this Pell equation are in A174756.

%H Vincenzo Librandi, <a href="/A174855/b174855.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 (100,-1).

%F a(n) = 100*a(n-1)-a(n-2) with a(1)=0, a(2)=7.

%F G.f.: 7*x^2/(1-100*x+x^2).

%t LinearRecurrence[{100,-1},{0,7},230]

%o (Magma) I:=[0,7]; [n le 2 select I[n] else 100*Self(n-1)-Self(n-2): n in [1..20]]

%Y Cf. A174756.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 15 2010

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Last modified May 10 10:46 EDT 2024. Contains 372377 sequences. (Running on oeis4.)