A041628 Numerators of continued fraction convergents to sqrt(333).

18, 73, 2646, 10657, 386298, 1555849, 56396862, 227143297, 8233555554, 33161365513, 1202042714022, 4841332221601, 175490002691658, 706801342988233, 25620338350268046, 103188154744060417, 3740393909136443058, 15064763791289832649, 546071890395570418422

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, 146, 0, -1).

Crossrefs

Cf. A041629.

Programs

Mathematica

Numerator[Convergents[Sqrt[333], 30]] (* Harvey P. Dale, Jan 30 2013 *)

Formula

G.f.: -(x^3-18*x^2-73*x-18) / ((x^2-12*x-1)*(x^2+12*x-1)). - Colin Barker, Nov 09 2013

Extensions

More terms from Colin Barker, Nov 09 2013