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A042645 Denominators of continued fraction convergents to sqrt(852). 2

%I #16 Mar 19 2017 12:21:55

%S 1,5,16,37,164,365,1259,6660,387539,1944355,6220604,14385563,63762856,

%T 141911275,489496681,2589394680,150674388121,755961335285,

%U 2418558393976,5593078123237,24790870886924,55174819897085,190315330578179,1006751472787980

%N Denominators of continued fraction convergents to sqrt(852).

%H Vincenzo Librandi, <a href="/A042645/b042645.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 388798, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^14 -5*x^13 +16*x^12 -37*x^11 +164*x^10 -365*x^9 +1259*x^8 -6660*x^7 -1259*x^6 -365*x^5 -164*x^4 -37*x^3 -16*x^2 -5*x -1) / (x^16 -388798*x^8 +1). - _Colin Barker_, Dec 20 2013

%t Denominator[Convergents[Sqrt[852], 30]] (* _Vincenzo Librandi_, Jan 26 2014 *)

%Y Cf. A042644, A040822.

%K nonn,frac,easy

%O 0,2

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)