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A042301 Denominators of continued fraction convergents to sqrt(677). 2

%I

%S 1,52,2705,140712,7319729,380766620,19807183969,1030354333008,

%T 53598232500385,2788138444353028,145036797338857841,

%U 7544701600064960760,392469520000716817361,20415959741637339463532,1062022376085142368921025,55245579516169040523356832

%N Denominators of continued fraction convergents to sqrt(677).

%H Vincenzo Librandi, <a href="/A042301/b042301.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 (52, 1).

%F a(n) = F(n, 52), the n-th Fibonacci polynomial evaluated at x=52. - _T. D. Noe_, Jan 19 2006

%F a(n) = 52*a(n-1)+a(n-2) for n>1, a(0)=1, a(1)=52. G.f.: 1/(1-52*x-x^2). [_Philippe Deléham_, Nov 23 2008]

%t a = 0; lst = {}; s = 0; Do[a = s - (a - 1); AppendTo[lst, a]; s += a*52, {n, 3*4!}]; lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 03 2009 *)

%t Denominator[Convergents[Sqrt[677], 30]] (* _Vincenzo Librandi_, Jan 19 2014 *)

%Y Cf. A042300, A040650.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E Additional term from _Colin Barker_, Dec 07 2013

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Last modified November 17 08:39 EST 2019. Contains 329217 sequences. (Running on oeis4.)