A041170 Numerators of continued fraction convergents to sqrt(95).

9, 10, 29, 39, 731, 770, 2271, 3041, 57009, 60050, 177109, 237159, 4445971, 4683130, 13812231, 18495361, 346728729, 365224090, 1077176909, 1442400999, 27040394891, 28482795890, 84005986671

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• frac
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Index entries for linear recurrences with constant coefficients, signature (0,0,0,78,0,0,0,-1).

Crossrefs

Cf. A010546, A041171.

Programs

Mathematica

Numerator[Convergents[Sqrt[95], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0,0,0,78,0,0,0,-1},{9,10,29,39,731,770,2271,3041},30] (* Harvey P. Dale, Dec 30 2020 *)

Formula

G.f.: (9 +10*x +29*x^2 +39*x^3 +29*x^4 -10*x^5 +9*x^6 -x^7) / (1 -78*x^4 +x^8). [Bruno Berselli, Oct 30 2013]