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A179949 Continued fraction for sqrt(gamma). 0

%I

%S 0,1,3,6,6,5,1,301,2,24,4,13,2,2,13,3,1,7,39,1,1,2,3,1,4,1,2,2,1,1,6,

%T 3,1,91,7,1,3,1,3,1,1,14,2,1,1,1,4,1,1,1,8,11,1,2,1,1,7,3,1,3,2,14,1,

%U 1,5,1,1,1,4,7,2,7,1,1,3,1,2,114,5,1,3,1,1,1,1,1,5,143,1,5,1,4,1,2,4,1,21,1

%N Continued fraction for sqrt(gamma).

%C gamma is the Euler constant (or Euler-Mascheroni constant).

%H K. Y. Choong, D. E. Daykin and C. R. Rathbone, <a href="https://doi.org/10.1090/S0025-5718-71-99719-5">Regular continued fractions for pi and gamma</a>, Math. Comp., 25 (1971), 403.

%e Sqrt(gamma) = 0.75974710588559194629... = 0 + 1/(1 + 1/(3 + 1/(6 + 1/(6 + ...))))

%p with(numtheory): Digits := 300: convert(evalf(sqrt(gamma(0))), confrac);

%o (PARI) contfrac(sqrt(Euler)) \\ _Michel Marcus_, Oct 11 2017

%K nonn,cofr

%O 0,3

%A _Michel Lagneau_, Aug 03 2010

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Last modified September 19 00:22 EDT 2021. Contains 347549 sequences. (Running on oeis4.)