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%I #14 Oct 19 2016 08:39:28
%S 17,18,53,71,124,319,443,15381,15824,47029,62853,109882,282617,392499,
%T 13627583,14020082,41667747,55687829,97355576,250398981,347754557,
%U 12074053919,12421808476,36917670871,49339479347,86257150218,221853779783,308110930001
%N Numerators of continued fraction convergents to sqrt(314).
%H Vincenzo Librandi, <a href="/A041592/b041592.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 (0,0,0,0,0,0,886,0,0,0,0,0,0,1).
%F G.f.: -(x^13 -17*x^12 +18*x^11 -53*x^10 +71*x^9 -124*x^8 +319*x^7 +443*x^6 +319*x^5 +124*x^4 +71*x^3 +53*x^2 +18*x +17) / (x^14 +886*x^7 -1). - _Colin Barker_, Nov 09 2013
%t Numerator[Convergents[Sqrt[314], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)
%t LinearRecurrence[{0,0,0,0,0,0,886,0,0,0,0,0,0,1},{17,18,53,71,124,319,443,15381,15824,47029,62853,109882,282617,392499},30] (* _Harvey P. Dale_, Oct 19 2016 *)
%Y Cf. A041593.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 09 2013
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