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A174780 y-values in the solution to x^2-43*y^2=1. 2


%S 0,531,3697884,25752063645,179337367525896,1248905401698276099,

%T 8697377038089427227540,60568532444349369514312461,

%U 421799251245071971208244750864,2937409925102148763144846930704435,20456122296612112741468742817180934476

%N y-values in the solution to x^2-43*y^2=1.

%C The corresponding values of x of this Pell equation are in A174753.

%H Vincenzo Librandi, <a href="/A174780/b174780.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 (6964,-1).

%F a(n) = 6964*a(n-1)-a(n-2) with a(1)=0, a(2)=531.

%F G.f.: 531*x^2/(1-6964*x+x^2).

%t LinearRecurrence[{6964,-1},{0,531},20] (* _Harvey P. Dale_, Nov 21 2011 *)

%o (MAGMA) I:=[0,531]; [n le 2 select I[n] else 6964*Self(n-1)-Self(n-2): n in [1..15]];

%Y Cf. A174753.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Apr 15 2010

%E More terms from Harvey P. Dale, Nov 21 2011

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Last modified August 2 17:49 EDT 2021. Contains 346428 sequences. (Running on oeis4.)