A179949 Continued fraction for sqrt(gamma).

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, 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, 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

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..97.

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

Example

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

Maple

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

Prog

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

Crossrefs

Sequence in context: A197263 A074785 A225462 * A187601 A113737 A292165

Adjacent sequences: A179946 A179947 A179948 * A179950 A179951 A179952

Keyword

nonn,cofr

Author

Michel Lagneau, Aug 03 2010

Status

approved