A179946 - OEIS

%I #7 Oct 11 2017 09:07:19

%S 0,1,2,1,2,8,1,2,2,108,1,2,1,1,2,1,6,2,8,1,1,9,1,1,2,17,1,5,2,2,1,1,

%T 18,6,1,2,4,3,3,3,17,2,1,2,2,1,1,4,1,22,14,1,1,1,1,2,6,1,13,1,4,2,2,3,

%U 1,13,1,2,1,5,3,2,1,6,1,3,11,5,1,9,2,1,1,4,4,2,2,1,1,1,8,1,1,4,5,111,21,2,3

%N Continued fraction for gamma^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 gamma^gamma = 0.72818313749254304114... = 0 + 1/(1 + 1/(2 + 1/(1 + 1/(2 + 1/(8 + ...)))))

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

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

%K nonn,cofr

%O 0,3

%A _Michel Lagneau_, Aug 03 2010