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A042109 Denominators of continued fraction convergents to sqrt(579). 2

%I

%S 1,16,769,12320,592129,9486384,455938561,7304503360,351072099841,

%T 5624458100816,270325060939009,4330825433124960,208149945850937089,

%U 3334729959048118384,160275187980160619521,2567737737641618030720,123411686594777826094081

%N Denominators of continued fraction convergents to sqrt(579).

%H Vincenzo Librandi, <a href="/A042109/b042109.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 770, 0, -1).

%F G.f.: -(x^2-16*x-1) / (x^4-770*x^2+1). - _Colin Barker_, Dec 02 2013

%F a/n) = 770*a(n-2) - a(n-4) for n>3. - _Vincenzo Librandi_, Jan 14 2014

%t Denominator[Convergents[Sqrt[579], 30]] (* _Vincenzo Librandi_, Jan 14 2014 *)

%o (MAGMA) I:=[1,16,769,12320]; [n le 4 select I[n] else 770*Self(n-2)-Self(n-4): n in [1..30]]; // _Vincenzo Librandi_, Jan 14 2014

%Y Cf. A042108, A040554.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E Additional term from _Colin Barker_, Dec 02 2013

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Last modified January 22 21:47 EST 2022. Contains 350504 sequences. (Running on oeis4.)