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

0,1

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).

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

Mathematica

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

Crossrefs

Cf. A041629.

Sequence in context: A039608 A211619 A305018 * A022145 A284659 A143666

Adjacent sequences: A041625 A041626 A041627 * A041629 A041630 A041631

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved