A041634 Numerators of continued fraction convergents to sqrt(336).

18, 55, 1998, 6049, 219762, 665335, 24171822, 73180801, 2658680658, 8049222775, 292430700558, 885341324449, 32164718380722, 97379496466615, 3537826591178862, 10710859270003201, 389128760311294098, 1178097140203885495, 42800625807651171918

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,110,0,-1).

Formula

G.f.: -(x^3-18*x^2-55*x-18) / (x^4-110*x^2+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[336], 30]] (* Vincenzo Librandi, Nov 05 2013 *)
LinearRecurrence[{0, 110, 0, -1}, {18, 55, 1998, 6049}, 20] (* Harvey P. Dale, Apr 06 2022 *)

Crossrefs

Cf. A041635.

Sequence in context: A033571 A041632 A086540 * A044975 A251252 A297946

Adjacent sequences: A041631 A041632 A041633 * A041635 A041636 A041637

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved