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A041348 Numerators of continued fraction convergents to sqrt(188). 2

%I #12 Jun 13 2015 00:49:23

%S 13,14,41,96,617,1330,3277,4607,123059,127666,378391,884448,5685079,

%T 12254606,30194291,42448897,1133865613,1176314510,3486494633,

%U 8149303776,52382317289,112913938354,278210193997,391124132351,10447437635123,10838561767474

%N Numerators of continued fraction convergents to sqrt(188).

%H Vincenzo Librandi, <a href="/A041348/b041348.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 (0,0,0,0,0,0,0,9214,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^15 -13*x^14 +14*x^13 -41*x^12 +96*x^11 -617*x^10 +1330*x^9 -3277*x^8 -4607*x^7 -3277*x^6 -1330*x^5 -617*x^4 -96*x^3 -41*x^2 -14*x -13) / ((x^8 -96*x^4 +1)*(x^8 +96*x^4 +1)). - _Colin Barker_, Nov 06 2013

%t Numerator[Convergents[Sqrt[188], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041349.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 06 2013

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