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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

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).

Crossrefs

Cf. A010535, A041149.

Programs

Mathematica

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

Formula

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

Extensions

More terms from Colin Barker, Nov 05 2013