A179949 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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);