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A042829 Denominators of continued fraction convergents to sqrt(945). 2

%I #14 Jun 13 2015 00:49:48

%S 1,1,3,4,27,328,1995,2323,6641,8964,544481,553445,1651371,2204816,

%T 14880267,180768020,1099488387,1280256407,3660001201,4940257608,

%U 300075457681,305015715289,910106888259,1215122603548,8200842509547,99625232718112,605952238818219

%N Denominators of continued fraction convergents to sqrt(945).

%H Vincenzo Librandi, <a href="/A042829/b042829.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,551122,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^18 -x^17 +3*x^16 -4*x^15 +27*x^14 -328*x^13 +1995*x^12 -2323*x^11 +6641*x^10 -8964*x^9 -6641*x^8 -2323*x^7 -1995*x^6 -328*x^5 -27*x^4 -4*x^3 -3*x^2 -x -1) / (x^20 -551122*x^10 +1). - _Colin Barker_, Dec 24 2013

%t Denominator[Convergents[Sqrt[945], 30]] (* _Vincenzo Librandi_, Jan 30 2014 *)

%Y Cf. A042828, A040914.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 24 2013

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Last modified April 25 09:28 EDT 2024. Contains 371967 sequences. (Running on oeis4.)