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A041998 Numerators of continued fraction convergents to sqrt(522). 2

%I #18 Jun 13 2015 00:49:38

%S 22,23,137,160,297,1348,1645,2993,16610,19603,879142,898745,5372867,

%T 6271612,11644479,52849528,64494007,117343535,651211682,768555217,

%U 34467641230,35236196447,210648623465,245884819912,456533443377,2072018593420,2528552036797,4600570630217

%N Numerators of continued fraction convergents to sqrt(522).

%H Vincenzo Librandi, <a href="/A041998/b041998.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,39206,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^19 -22*x^18 +23*x^17 -137*x^16 +160*x^15 -297*x^14 +1348*x^13 -1645*x^12 +2993*x^11 -16610*x^10 -19603*x^9 -16610*x^8 -2993*x^7 -1645*x^6 -1348*x^5 -297*x^4 -160*x^3 -137*x^2 -23*x -22) / ((x^10 -198*x^5 -1)*(x^10 +198*x^5 -1)). - _Colin Barker_, Nov 28 2013

%t Numerator[Convergents[Sqrt[522],201]] (* _Vincenzo Librandi_, Nov 13 2013 *)

%Y Cf. A041999, A040499.

%K nonn,cofr,frac,easy,less

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 28 2013

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