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A041634 Numerators of continued fraction convergents to sqrt(336). 2
18, 55, 1998, 6049, 219762, 665335, 24171822, 73180801, 2658680658, 8049222775, 292430700558, 885341324449, 32164718380722, 97379496466615, 3537826591178862, 10710859270003201, 389128760311294098, 1178097140203885495, 42800625807651171918 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 1 06:22 EST 2023. Contains 359981 sequences. (Running on oeis4.)