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A040565 Continued fraction for sqrt(590). 2

%I

%S 24,3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,

%T 3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2,

%U 4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2,4,2,3,48,3,2

%N Continued fraction for sqrt(590).

%H Matthew House, <a href="/A040565/b040565.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1).

%F a(n) = (1/90)*(-613*(n mod 6)+47*((n+1) mod 6)+92*((n+2) mod 6)+32*((n+3) mod 6)+77*((n+4) mod 6)+737*((n+5) mod 6))-24*(C(2*n,n) mod 2). - _Paolo P. Lava_, May 15 2009

%F From _Matthew House_, Feb 11 2017: (Start)

%F G.f.: (24+3*x+2*x^2+4*x^3+2*x^4+3*x^5+24*x^6)/(1-x^6).

%F a(n) = a(n-6). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(590)),confrac);

%t ContinuedFraction[Sqrt[590],90] (* _Harvey P. Dale_, Dec 11 2011 *)

%o (PARI) contfrac(sqrt(590)) \\ _Michel Marcus_, Feb 11 2017

%K nonn,cofr,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified September 17 05:34 EDT 2021. Contains 347478 sequences. (Running on oeis4.)