A041370 Numerators of continued fraction convergents to sqrt(200).

14, 99, 2786, 19601, 551614, 3880899, 109216786, 768398401, 21624372014, 152139002499, 4281516441986, 30122754096401, 847718631141214, 5964153172084899, 167844007449518386, 1180872205318713601, 33232265756373499214, 233806732499933208099

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0,198,0,-1).

Crossrefs

Cf. A041371.

Programs

Mathematica

Numerator[Convergents[Sqrt[200], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0,198,0,-1},{14,99,2786,19601},30] (* Harvey P. Dale, Jun 19 2022 *)

Formula

G.f.: -(x^3-14*x^2-99*x-14) / ((x^2-14*x-1)*(x^2+14*x-1)). - Colin Barker, Nov 07 2013

Extensions

More terms from Colin Barker, Nov 07 2013