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 A042513 Denominators of continued fraction convergents to sqrt(785). 2

%I

%S 1,56,3137,175728,9843905,551434408,30890170753,1730400996576,

%T 96933345979009,5429997775821080,304176808791959489,

%U 17039331290125552464,954506729055822897473,53469416158416207810952,2995241811600363460310785,167787010865778769985214912

%N Denominators of continued fraction convergents to sqrt(785).

%H Vincenzo Librandi, <a href="/A042513/b042513.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 (56, 1).

%F a(n) = F(n, 56), the n-th Fibonacci polynomial evaluated at x=56. - _T. D. Noe_, Jan 19 2006

%F a(n) = 56*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=56. G.f.: 1/(1-56*x-x^2). [_Philippe DelĂ©ham_, Nov 23 2008]

%t a=0; lst={}; s=0; Do[a = s-(a-1); AppendTo[lst, a]; s+=a*56, {n, 3*4!}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 03 2009 *)

%t Denominator[Convergents[Sqrt[785], 30]] (* _Harvey P. Dale_, Jun 26 2012 *)

%t CoefficientList[Series[1/(1 - 56 x - x^2), {x, 0, 25}], x] (* _Vincenzo Librandi_, Jan 23 2014 *)

%Y Cf. A042512, A040756.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E Additional term from _Colin Barker_, Dec 17 2013

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Last modified August 20 23:06 EDT 2018. Contains 313929 sequences. (Running on oeis4.)