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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
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 *)
LinearRecurrence[{0, 20, 0, -1}, {9, 10, 189, 199}, 40] (* Harvey P. Dale, Jan 23 2019 *)
CROSSREFS
Sequence in context: A248306 A336690 A041177 * A221201 A119159 A041415
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved

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Last modified June 22 21:37 EDT 2024. Contains 373610 sequences. (Running on oeis4.)