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