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A041148 Numerators of continued fraction convergents to sqrt(84). 2
9, 55, 999, 6049, 109881, 665335, 12085911, 73180801, 1329340329, 8049222775, 146215350279, 885341324449, 16082359190361, 97379496466615, 1768913295589431, 10710859270003201, 194564380155647049, 1178097140203885495, 21400312903825585959 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..80

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

FORMULA

G.f.: -(x^3-9*x^2-55*x-9) / (x^4-110*x^2+1). - Colin Barker, Nov 05 2013

MATHEMATICA

Numerator[Convergents[Sqrt[84], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

CROSSREFS

Cf. A010535, A041149.

Sequence in context: A281454 A174711 A231857 * A307844 A114026 A245488

Adjacent sequences:  A041145 A041146 A041147 * A041149 A041150 A041151

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 December 15 17:03 EST 2019. Contains 330000 sequences. (Running on oeis4.)