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A174756 x-values in the solution to x^2-51*y^2=1. 2


%S 1,50,4999,499850,49980001,4997500250,499700044999,49965006999650,

%T 4996000999920001,499550134985000450,49950017497500124999,

%U 4994502199615027499450,499400269944005249820001

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

%C The corresponding values of y of this Pell equation are in A174855.

%H Vincenzo Librandi, <a href="/A174756/b174756.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)=1, a(2)=50.

%F G.f.: x*(1-50*x)/(1-100*x+x^2).

%t LinearRecurrence[{100,-1},{1,50},30]

%o (MAGMA) I:=[1, 50]; [n le 2 select I[n] else 100*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174855.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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Last modified May 13 14:47 EDT 2021. Contains 343860 sequences. (Running on oeis4.)