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.

A041120 Numerators of continued fraction convergents to sqrt(69).

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%I A041120 #15 Jul 09 2025 00:17:52
%S A041120 8,25,83,108,515,623,2384,7775,126784,388127,1291165,1679292,8008333,
%T A041120 9687625,37071208,120901249,1971491192,6035374825,20077615667,
%U A041120 26112990492,124529577635,150642568127,576457282016,1880014414175,30656687908816,93850078140623
%N A041120 Numerators of continued fraction convergents to sqrt(69).
%H A041120 Vincenzo Librandi, <a href="/A041120/b041120.txt">Table of n, a(n) for n = 0..200</a>
%H A041120 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,15550,0,0,0,0,0,0,0,-1).
%F A041120 G.f.: -(x^15 -8*x^14 +25*x^13 -83*x^12 +108*x^11 -515*x^10 +623*x^9 -2384*x^8 -7775*x^7 -2384*x^6 -623*x^5 -515*x^4 -108*x^3 -83*x^2 -25*x -8) / (x^16 -15550*x^8 +1). - _Colin Barker_, Nov 10 2013
%t A041120 Numerator[Convergents[Sqrt[69], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)
%Y A041120 Cf. A010521, A041121.
%K A041120 nonn,cofr,frac,easy
%O A041120 0,1
%A A041120 _N. J. A. Sloane_
%E A041120 More terms from _Colin Barker_, Nov 10 2013