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A040142 Continued fraction for sqrt(155). 0

%I

%S 12,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,

%T 4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,24,2,4,2,

%U 24,2,4,2,24,2,4,2,24,2,4,2

%N Continued fraction for sqrt(155).

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

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

%F a(n)=(1/6)*{-25*(n mod 4)+11*[(n+1) mod 4]+5*[(n+2) mod 4]+41*[(n+3) mod 4]}-12*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Jun 10 2009]

%p Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):

%t ContinuedFraction[Sqrt[155],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 23 2011*)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified September 15 04:09 EDT 2019. Contains 327062 sequences. (Running on oeis4.)