A041176 Numerators of continued fraction convergents to sqrt(98).

9, 10, 89, 99, 1871, 1970, 17631, 19601, 370449, 390050, 3490849, 3880899, 73347031, 77227930, 691170471, 768398401, 14522341689, 15290740090, 136848262409, 152139002499, 2875350307391, 3027489309890

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,198,0,0,0,-1).

Formula

G.f.: (9 + 10*x + 89*x^2 + 99*x^3 + 89*x^4 - 10*x^5 + 9*x^6 - x^7) / ((1 + 14*x^2 - x^4)*(1 - 14*x^2 - x^4)). [Bruno Berselli, Oct 30 2013]

Mathematica

Numerator[Convergents[Sqrt[98], 30]] (* Vincenzo Librandi, Oct 30 2013 *)

Crossrefs

Cf. A010549, A041177.

Sequence in context: A201948 A249311 A041039 * A119072 A347183 A136867

Adjacent sequences: A041173 A041174 A041175 * A041177 A041178 A041179

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved