cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A041176 #14 Jul 09 2025 00:23:28
%S A041176 9,10,89,99,1871,1970,17631,19601,370449,390050,3490849,3880899,
%T A041176 73347031,77227930,691170471,768398401,14522341689,15290740090,
%U A041176 136848262409,152139002499,2875350307391,3027489309890
%N A041176 Numerators of continued fraction convergents to sqrt(98).
%H A041176 Vincenzo Librandi, <a href="/A041176/b041176.txt">Table of n, a(n) for n = 0..200</a>
%H A041176 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,198,0,0,0,-1).
%F A041176 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]
%t A041176 Numerator[Convergents[Sqrt[98], 30]] (* _Vincenzo Librandi_, Oct 30 2013 *)
%Y A041176 Cf. A010549, A041177.
%K A041176 nonn,cofr,frac,easy
%O A041176 0,1
%A A041176 _N. J. A. Sloane_