A179948 - OEIS

A179948

Continued fraction for Pi^gamma, where gamma is the Euler-Mascheroni constant.

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

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OFFSET

0,3

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

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