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A041660 Numerators of continued fraction convergents to sqrt(349). 2

%I #14 Mar 18 2017 12:40:55

%S 18,19,56,411,2933,6277,9210,337837,347047,1031931,7570564,54025879,

%T 115622322,169648201,6222957558,6392605759,19008169076,139449789291,

%U 995156694113,2129763177517,3124919871630,114626878556197,117751798427827,350130475411851

%N Numerators of continued fraction convergents to sqrt(349).

%H Vincenzo Librandi, <a href="/A041660/b041660.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 18420, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^13 -18*x^12 +19*x^11 -56*x^10 +411*x^9 -2933*x^8 +6277*x^7 +9210*x^6 +6277*x^5 +2933*x^4 +411*x^3 +56*x^2 +19*x +18) / (x^14 +18420*x^7 -1). - _Colin Barker_, Nov 10 2013

%t Numerator[Convergents[Sqrt[349], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%Y Cf. A041661.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 10 2013

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)