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A041925 Denominators of continued fraction convergents to sqrt(485). 2

%I

%S 1,44,1937,85272,3753905,165257092,7275065953,320268159024,

%T 14099074063009,620679526931420,27323998259045489,1202876602924932936,

%U 52953894526956094673,2331174235788993098548,102624620269242652430785,4517814466082465700053088

%N Denominators of continued fraction convergents to sqrt(485).

%H Vincenzo Librandi, <a href="/A041925/b041925.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) = F(n, 44), the n-th Fibonacci polynomial evaluated at x=44. - _T. D. Noe_, Jan 19 2006

%F From _Philippe Deléham_, Nov 23 2008: (Start)

%F a(n) = 44*a(n-1) + a(n-2) for n>1; a(0)=1, a(1)=44.

%F G.f.: 1/(1-44*x-x^2). (End)

%t a=0;lst={};s=0;Do[a=s-(a-1);AppendTo[lst,a];s+=a*44,{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 03 2009 *)

%t Denominator[Convergents[Sqrt[485],20]] (* _Harvey P. Dale_, Oct 20 2011 *)

%t CoefficientList[Series[1/(1 - 44 x - x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 27 2013 *)

%Y Cf. A041924, A040462.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E Additional term from _Colin Barker_, Nov 27 2013

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Last modified November 12 22:01 EST 2019. Contains 329079 sequences. (Running on oeis4.)