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A041418 Numerators of continued fraction convergents to sqrt(224). 2

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

%S 14,15,434,449,13006,13455,389746,403201,11679374,12082575,349991474,

%T 362074049,10488064846,10850138895,314291953906,325142092801,

%U 9418270552334,9743412645135,282233824616114

%N Numerators of continued fraction convergents to sqrt(224).

%H Vincenzo Librandi, <a href="/A041418/b041418.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,30,0,-1).

%F G.f.: (14 + 15*x + 14*x^2 - x^3) / (1 - 30*x^2 + x^4). - _Vincenzo Librandi_, Nov 02 2013

%t Numerator[Convergents[Sqrt[224], 30]] (* or *) CoefficientList[Series[(14 + 15 x + 14 x^2 - x^3)/(1 - 30 x^2 + x^4), {x, 0, 30}], x] (* _Vincenzo Librandi_, Nov 02 2013 *)

%Y Cf. A041419.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)