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A174750 x-values in the solution to x^2-38*y^2=1. 2


%S 1,37,2737,202501,14982337,1108490437,82013310001,6067876449637,

%T 448940843963137,33215554576822501,2457502097840901937,

%U 181821939685649920837,13452366034640253240001,995293264623693089839237

%N x-values in the solution to x^2-38*y^2=1.

%C The corresponding values of y of this Pell equation are in A174777.

%H Vincenzo Librandi, <a href="/A174750/b174750.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 (74,-1).

%F a(n) = 74*a(n-1)-a(n-2) with a(1)=1, a(2)=37.

%F G.f.: x*(1-37*x)/(1-74*x+x^2).

%t LinearRecurrence[{74,-1},{1,37},30]

%o (MAGMA) I:=[1, 37]; [n le 2 select I[n] else 74*Self(n-1)-Self(n-2): n in [1..20]];

%Y Cf. A174777.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 13 2010

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Last modified July 31 02:33 EDT 2021. Contains 346367 sequences. (Running on oeis4.)