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A042625 Denominators of continued fraction convergents to sqrt(842). 2

%I

%S 1,58,3365,195228,11326589,657137390,38125295209,2211924259512,

%T 128329732346905,7445336400380002,431957840954387021,

%U 25061000111754827220,1453969964322734365781,84355318930830348042518,4894062467952482920831825,283939978460174839756288368

%N Denominators of continued fraction convergents to sqrt(842).

%H Vincenzo Librandi, <a href="/A042625/b042625.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 (58, 1).

%F a(n) = F(n, 58), the n-th Fibonacci polynomial evaluated at x=58. - _T. D. Noe_, Jan 19 2006

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

%F a(n) = 58*a(n-1) + a(n-2) for n>1; a(0)=1, a(1)=58.

%F G.f.: 1/(1 - 58*x - x^2).

%F (End)

%t a=0;lst={};s=0;Do[a=s-(a-1);AppendTo[lst,a];s+=a*58,{n,3*4!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 03 2009 *)

%t Denominator[Convergents[Sqrt[842], 30]] (* _Vincenzo Librandi_, Jan 26 2014 *)

%Y Cf. A042624, A040812.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_

%E Additional term from _Colin Barker_, Dec 20 2013

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Last modified November 22 06:15 EST 2019. Contains 329389 sequences. (Running on oeis4.)