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.

A041164 Numerators of continued fraction convergents to sqrt(92).

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%I A041164 #15 Jul 09 2025 00:22:07
%S A041164 9,10,19,48,211,470,681,1151,21399,22550,43949,110448,485741,1081930,
%T A041164 1567671,2649601,49260489,51910090,101170579,254251248,1118175571,
%U A041164 2490602390,3608777961,6099380351,113397624279,119497004630,232894628909,585286262448
%N A041164 Numerators of continued fraction convergents to sqrt(92).
%H A041164 Vincenzo Librandi, <a href="/A041164/b041164.txt">Table of n, a(n) for n = 0..200</a>
%H A041164 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,2302,0,0,0,0,0,0,0,-1).
%F A041164 G.f.: -(x^15 -9*x^14 +10*x^13 -19*x^12 +48*x^11 -211*x^10 +470*x^9 -681*x^8 -1151*x^7 -681*x^6 -470*x^5 -211*x^4 -48*x^3 -19*x^2 -10*x -9) / ((x^8 -48*x^4 +1)*(x^8 +48*x^4 +1)). - _Colin Barker_, Nov 05 2013
%t A041164 Numerator[Convergents[Sqrt[92], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041164 Cf. A010543, A041165.
%K A041164 nonn,cofr,frac,easy
%O A041164 0,1
%A A041164 _N. J. A. Sloane_
%E A041164 More terms from _Colin Barker_, Nov 05 2013