A179947 - OEIS

%I #11 Aug 19 2022 18:18:11

%S 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,

%T 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,

%U 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

%N Continued fraction for gamma^Pi.

%H K. Y. Choong, D. E. Daykin and C. R. Rathbone, <a href="https://doi.org/10.1090/S0025-5718-71-99719-5">Regular continued fractions for pi and gamma</a>, Math. Comp., 25 (1971), 403.

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

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

%t ContinuedFraction[EulerGamma^Pi,100] (* _Harvey P. Dale_, Aug 19 2022 *)

%o (PARI) contfrac(Euler^Pi) \\ _Michel Marcus_, Oct 11 2017

%Y Cf. A182470.

%K nonn,cofr

%O 0,2

%A _Michel Lagneau_, Aug 03 2010