A179948 Continued fraction for Pi^gamma.

1, 1, 14, 1, 2, 4, 1, 23, 2, 13, 2, 2, 1, 22, 1, 6, 14, 1, 2, 6, 1, 2, 40, 1, 3, 1, 1, 3, 2, 1, 6, 1, 5, 1, 1, 1, 1, 2, 9, 2, 1, 3, 2, 1, 2, 1, 1, 2, 5, 1, 1, 6, 6, 2, 1654, 4, 1, 5, 1, 12, 1, 5, 1, 2, 1, 1, 1, 1, 2, 4, 1, 1, 1, 1, 6, 1, 2, 3, 1, 2, 2, 1, 3, 4, 1, 4, 2, 2, 5, 5, 1, 1, 22, 3, 1, 9, 1, 1, 10

Offset

1,3

Links

Table of n, a(n) for n=1..99.

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

Example

Pi^gamma = 1.9362556334196744600139... = 1 + 1/(1 + 1/(14 + 1/(1 + 1/(2 + ...)))).

Maple

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

Prog

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

Crossrefs

Cf. A182547.

Sequence in context: A040202 A209601 A040201 * A160495 A040204 A040203

Adjacent sequences: A179945 A179946 A179947 * A179949 A179950 A179951

Keyword

nonn,cofr

Author

Michel Lagneau, Aug 03 2010

Status

approved