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A041080 Numerators of continued fraction convergents to sqrt(47). 2

%I #17 Jun 13 2015 00:49:21

%S 6,7,41,48,617,665,3942,4607,59226,63833,378391,442224,5685079,

%T 6127303,36321594,42448897,545708358,588157255,3486494633,4074651888,

%U 52382317289,56456969177,334667163174,391124132351,5028156751386,5419280883737,32124561170071

%N Numerators of continued fraction convergents to sqrt(47).

%H Vincenzo Librandi, <a href="/A041080/b041080.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 (0,0,0,96,0,0,0,-1).

%F G.f.: -(x^7-6*x^6+7*x^5-41*x^4-48*x^3-41*x^2-7*x-6) / (x^8-96*x^4+1). - _Colin Barker_, Nov 04 2013

%t Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[47],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 22 2011*)

%t Numerator[Convergents[Sqrt[47],30]] (* _Harvey P. Dale_, Oct 15 2013 *)

%Y Cf. A041081, A010501.

%K nonn,cofr,easy,frac

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 04 2013

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Last modified April 18 08:27 EDT 2024. Contains 371769 sequences. (Running on oeis4.)