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A041020 Numerators of continued fraction convergents to sqrt(14). 3

%I #25 Jun 13 2015 00:49:20

%S 3,4,11,15,101,116,333,449,3027,3476,9979,13455,90709,104164,299037,

%T 403201,2718243,3121444,8961131,12082575,81456581,93539156,268534893,

%U 362074049,2440979187,2803053236,8047085659

%N Numerators of continued fraction convergents to sqrt(14).

%H Vincenzo Librandi, <a href="/A041020/b041020.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 (0,0,0,30,0,0,0,-1).

%F G.f.: (3+4*x+11*x^2+15*x^3+11*x^4-4*x^5+3*x^6-x^7)/(1-30*x^4+x^8). [Colin Barker, Jan 03 2012]

%t Table[Numerator[FromContinuedFraction[ContinuedFraction[Sqrt[14],n]]],{n,1,50}] (* _Vladimir Joseph Stephan Orlovsky_, Mar 17 2011*)

%Y Cf. A010471, A041021.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

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