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

0,1

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).

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]

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 *)

Crossrefs

Cf. A010546, A041171.

Sequence in context: A111033 A123048 A189047 * A041168 A042635 A045483

Adjacent sequences: A041167 A041168 A041169 * A041171 A041172 A041173

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved