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%I #16 Sep 08 2022 08:44:55
%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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