A041148 Numerators of continued fraction convergents to sqrt(84).

9, 55, 999, 6049, 109881, 665335, 12085911, 73180801, 1329340329, 8049222775, 146215350279, 885341324449, 16082359190361, 97379496466615, 1768913295589431, 10710859270003201, 194564380155647049, 1178097140203885495, 21400312903825585959

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 A368889

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