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 A042861 Denominators of continued fraction convergents to sqrt(962). 2

%I

%S 1,62,3845,238452,14787869,917086330,56874140329,3527113786728,

%T 218737928917465,13565278706669558,841266017742430061,

%U 52172058378737333340,3235508885499457097141,200653722959345077356082,12443766332364894253174225,771714166329582788774158032

%N Denominators of continued fraction convergents to sqrt(962).

%H Vincenzo Librandi, <a href="/A042861/b042861.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 (62, 1).

%F a(n) = F(n, 62), the n-th Fibonacci polynomial evaluated at x=62. - _T. D. Noe_, Jan 19 2006

%F From _Philippe DelĂ©ham_, Nov 23 2008: (Start)

%F a(n) = 62*a(n-1) + a(n-2), n>1; a(0)=1, a(1)=62.

%F G.f.: 1/(1 - 62*x - x^2). (End)

%t a=0;lst={};s=0;Do[a=s-(a-1);AppendTo[lst,a];s+=a*62,{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 03 2009 *)

%t Denominator[Convergents[Sqrt[962],20]] (* _Harvey P. Dale_, Jun 15 2013 *)

%Y Cf. A042860, A040930.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E Additional term from _Colin Barker_, Dec 25 2013

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Last modified March 20 15:43 EDT 2019. Contains 321345 sequences. (Running on oeis4.)