A179946 Continued fraction for gamma^gamma.

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, 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, 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

Offset

0,3

Comments

Gamma is the Euler constant (or Euler-Mascheroni constant),

Links

Table of n, a(n) for n=0..98.

K. Y. Choong, D. E. Daykin and C. R. Rathbone, Regular continued fractions for pi and gamma, Math. Comp., 25 (1971), 403.

Example

gamma^gamma = 0.72818313749254304114... = 0 + 1/(1 + 1/(2 + 1/(1 + 1/(2 + 1/(8 + ...)))))

Maple

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

Prog

(PARI) contfrac(Euler^Euler) \\ Michel Marcus, Oct 11 2017

Crossrefs

Sequence in context: A103410 A114303 A030651 * A198757 A173755 A140894

Adjacent sequences: A179943 A179944 A179945 * A179947 A179948 A179949

Keyword

nonn,cofr

Author

Michel Lagneau, Aug 03 2010

Status

approved