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.

A041178 Numerators of continued fraction convergents to sqrt(99).

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%I A041178 #16 Jul 09 2025 00:23:41
%S A041178 9,10,189,199,3771,3970,75231,79201,1500849,1580050,29941749,31521799,
%T A041178 597334131,628855930,11916740871,12545596801,237737483289,
%U A041178 250283080090,4742832924909,4993116004999,94618921014891,99612037019890,1887635587372911,1987247624392801
%N A041178 Numerators of continued fraction convergents to sqrt(99).
%H A041178 Vincenzo Librandi, <a href="/A041178/b041178.txt">Table of n, a(n) for n = 0..200</a>
%H A041178 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,20,0,-1).
%F A041178 G.f.: -(x^3-9*x^2-10*x-9) / (x^4-20*x^2+1). - _Colin Barker_, Nov 05 2013
%t A041178 Numerator[Convergents[Sqrt[99], 30]] (* _Vincenzo Librandi_, Oct 30 2013 *)
%t A041178 LinearRecurrence[{0,20,0,-1},{9,10,189,199},40] (* _Harvey P. Dale_, Jan 23 2019 *)
%Y A041178 Cf. A010550, A041179.
%K A041178 nonn,cofr,frac,easy
%O A041178 0,1
%A A041178 _N. J. A. Sloane_
%E A041178 More terms from _Colin Barker_, Nov 05 2013