%I #12 Jun 13 2015 00:49:24
%S 14,43,272,315,1532,1847,12614,39689,1123906,3411407,21592348,
%T 25003755,121607368,146611123,1001274106,3150433441,89213410454,
%U 270790664803,1713957399272,1984748064075,9652949655572,11637697719647,79479135973454,250075105640009
%N Numerators of continued fraction convergents to sqrt(205).
%H Vincenzo Librandi, <a href="/A041380/b041380.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 (0,0,0,0,0,0,0,79378,0,0,0,0,0,0,0,-1).
%F G.f.: -(x^15 -14*x^14 +43*x^13 -272*x^12 +315*x^11 -1532*x^10 +1847*x^9 -12614*x^8 -39689*x^7 -12614*x^6 -1847*x^5 -1532*x^4 -315*x^3 -272*x^2 -43*x -14) / (x^16-79378*x^8 +1). - _Colin Barker_, Nov 10 2013
%t Numerator[Convergents[Sqrt[205], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)
%Y Cf. A041381.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 10 2013
|