A042016 - OEIS

%I #15 Jun 13 2015 00:49:38

%S 23,346,715,1061,4959,10979,48875,59854,168583,2588599,119244137,

%T 1791250654,3701745445,5492996099,25673729841,56840455781,

%U 253035552965,309876008746,872787570457,13401689565601,617350507588103,9273659303387146,19164669114362395

%N Numerators of continued fraction convergents to sqrt(532).

%H Vincenzo Librandi, <a href="/A042016/b042016.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 (0,0,0,0,0,0,0,0,0,5177198,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -23*x^18 +346*x^17 -715*x^16 +1061*x^15 -4959*x^14 +10979*x^13 -48875*x^12 +59854*x^11 -168583*x^10 -2588599*x^9 -168583*x^8 -59854*x^7 -48875*x^6 -10979*x^5 -4959*x^4 -1061*x^3 -715*x^2 -346*x -23) / (x^20 -5177198*x^10 +1). - _Colin Barker_, Nov 29 2013

%t Numerator[Convergents[Sqrt[532], 30]] (* _Harvey P. Dale_, Oct 14 2012 *)

%Y Cf. A042017, A040508.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 29 2013