%I #14 Dec 25 2019 13:25:03
%S 16,33,115,723,2284,5291,171596,348483,1217045,7650753,24169304,
%T 55989361,1815828856,3687647073,12878770075,80960267523,255759572644,
%U 592479412811,19215100782596,39022680978003,136283143716605,856721543277633,2706447773549504
%N Numerators of continued fraction convergents to sqrt(270).
%H Vincenzo Librandi, <a href="/A041506/b041506.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 (0,0,0,0,0,10582,0,0,0,0,0,-1).
%F G.f.: -(x^11 -16*x^10 +33*x^9 -115*x^8 +723*x^7 -2284*x^6 -5291*x^5 -2284*x^4 -723*x^3 -115*x^2 -33*x -16) / ((x^4 -22*x^2 +1)*(x^8 +22*x^6 +483*x^4 +22*x^2 +1)). - _Colin Barker_, Nov 10 2013
%t Numerator[Convergents[Sqrt[270], 30]] (* _Vincenzo Librandi_, Nov 03 2013 *)
%t LinearRecurrence[{0,0,0,0,0,10582,0,0,0,0,0,-1},{16,33,115,723,2284,5291,171596,348483,1217045,7650753,24169304,55989361},30] (* _Harvey P. Dale_, Dec 25 2019 *)
%Y Cf. A041507.
%K nonn,cofr,frac,easy
%O 0,1
%A _N. J. A. Sloane_.
%E More terms from _Colin Barker_, Nov 10 2013
|