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

Offset: 0

Author

Michel Lagneau, Aug 03 2010

Keywords

• nonn
• cofr

Examples

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

Links

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

Crossrefs

Cf. A001620 (gamma), A182547 (decimal expansion).

Programs

Maple

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

PARI

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

Extensions

Offset changed by Andrew Howroyd, Jul 07 2024