%I #32 Dec 26 2023 06:37:27
%S 22,969,42658,1877921,82671182,3639409929,160216708058,7053174564481,
%T 310499897545222,13669048666554249,601748641225932178,
%U 26490609262607570081,1166188556195959015742,51338787081884804262729,2260072820159127346575818
%N Numerators of continued fraction convergents to sqrt(485).
%H Vincenzo Librandi, <a href="/A041924/b041924.txt">Table of n, a(n) for n = 0..200</a>
%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (44, 1).
%F a(n) = 44*a(n-1)+a(n-2) for n>1, a(0)=22, a(1)=969. G.f.: (22+x)/(1-44*x-x^2). [_Philippe Deléham_, Nov 23 2008]
%t Numerator[Convergents[Sqrt[485], 30]] (* _Vincenzo Librandi_, Nov 12 2013 *)
%t LinearRecurrence[{44,1},{22,969},20] (* _Harvey P. Dale_, Dec 24 2023 *)
%Y Cf. A041925, A040462.
%K nonn,cofr,frac,easy,less
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 27 2013