A179947 Continued fraction for gamma^Pi.

0, 5, 1, 1, 1, 1, 1, 2, 1, 7, 1, 1, 36, 2, 1, 1, 56, 2, 44, 1, 1, 1, 34, 3, 5, 1, 1, 1, 15, 3, 1, 2, 12, 2, 4, 2, 17, 4, 2, 1, 2, 2, 2, 1, 1, 1, 29, 6, 1, 4, 1, 3, 1, 1, 4, 3, 2, 1, 3, 1076, 17, 3, 49, 1, 2, 2, 2, 3, 20, 4, 13, 3, 2, 90, 1, 1, 2, 12, 2, 1, 3, 1, 7, 1, 10, 1, 2, 1, 2, 4, 206, 2, 2, 1, 6

Offset

0,2

Links

Table of n, a(n) for n=0..94.

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

Example

gamma^Pi = 0.1779186832897647510663236... = 0 + 1/(5 + 1/(1 + 1/(1 + 1/(1 + ...)))).

Maple

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

Mathematica

ContinuedFraction[EulerGamma^Pi, 100] (* Harvey P. Dale, Aug 19 2022 *)

Prog

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

Crossrefs

Cf. A182470.

Sequence in context: A348948 A291578 A165485 * A336468 A348496 A344757

Adjacent sequences: A179944 A179945 A179946 * A179948 A179949 A179950

Keyword

nonn,cofr

Author

Michel Lagneau, Aug 03 2010

Status

approved