The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #18 Mar 18 2017 12:57:07
%S 20,61,569,630,3089,3719,36560,113399,4572520,13830959,129051151,
%T 142882110,700579591,843461701,8291734900,25718666401,1037038390940,
%U 3136833839221,29268542943929,32405376783150,158890050076529,191295426859679,1880548891813640
%N Numerators of continued fraction convergents to sqrt(413).
%H Vincenzo Librandi, <a href="/A041784/b041784.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, 226798, 0, 0, 0, 0, 0, 0, 0, -1).
%F G.f.: -(x^15 -20*x^14 +61*x^13 -569*x^12 +630*x^11 -3089*x^10 +3719*x^9 -36560*x^8 -113399*x^7 -36560*x^6 -3719*x^5 -3089*x^4 -630*x^3 -569*x^2 -61*x -20) / (x^16 -226798*x^8 +1). - _Colin Barker_, Nov 24 2013
%t Numerator[Convergents[Sqrt[413], 50]] (* _Harvey P. Dale_, Oct 30 2011 *)
%Y Cf. A041785, A040392.
%K nonn,cofr,frac,easy,less
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 24 2013