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A040352 Continued fraction for sqrt(372). 1

%I

%S 19,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,2,

%T 3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,

%U 2,3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2,12,2,3,38,3,2

%N Continued fraction for sqrt(372).

%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)=(1/6)*{-31*(n mod 6)+3*[(n+1) mod 6]+14*[(n+2) mod 6]-6*[(n+3) mod 6]+5*[(n+4) mod 6]+39*[(n+5) mod 6]}-19*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 28 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(372)),confrac);

%t ContinuedFraction[Sqrt[372],100] (* or *) PadRight[{19},100,{38,3,2,12,2,3}] (* _Harvey P. Dale_, Aug 18 2012 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified September 21 00:17 EDT 2019. Contains 327252 sequences. (Running on oeis4.)