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A041414 Numerators of continued fraction convergents to sqrt(222). 2

%I #12 Jun 13 2015 00:49:24

%S 14,15,134,149,4306,4455,39946,44401,1283174,1327575,11903774,

%T 13231349,382381546,395612895,3547284706,3942897601,113948417534,

%U 117891315135,1057078938614,1174970253749,33956246043586

%N Numerators of continued fraction convergents to sqrt(222).

%H Vincenzo Librandi, <a href="/A041414/b041414.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,298,0,0,0,-1).

%F G.f.: (14 +15*x +134*x^2 +149*x^3 +134*x^4 -15*x^5 +14*x^6 -x^7) / (1 -298*x^4 +x^8). - _Vincenzo Librandi_, Nov 02 2013

%t Numerator[Convergents[Sqrt[222], 30]] (* or *) CoefficientList[Series[(14 + 15 x + 134 x^2 + 149 x^3 + 134 x^4 - 15 x^5 + 14 x^6 - x^7)/(1 - 298 x^4 + x^8), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 02 2013 *)

%Y Cf. A041415.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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