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A041178 Numerators of continued fraction convergents to sqrt(99). 2
9, 10, 189, 199, 3771, 3970, 75231, 79201, 1500849, 1580050, 29941749, 31521799, 597334131, 628855930, 11916740871, 12545596801, 237737483289, 250283080090, 4742832924909, 4993116004999, 94618921014891, 99612037019890, 1887635587372911, 1987247624392801 (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 (0,20,0,-1).

FORMULA

G.f.: -(x^3-9*x^2-10*x-9) / (x^4-20*x^2+1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[99], 30]] (* Vincenzo Librandi, Oct 30 2013 *)

CROSSREFS

Cf. A010550, A041179.

Sequence in context: A136881 A248306 A041177 * A221201 A119159 A041415

Adjacent sequences:  A041175 A041176 A041177 * A041179 A041180 A041181

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 05 2013

STATUS

approved

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Last modified October 18 00:16 EDT 2018. Contains 316297 sequences. (Running on oeis4.)