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Continued fraction for gamma^e, where gamma is the Euler-Mascheroni constant.
0

%I #6 Jul 07 2024 12:05:16

%S 0,4,2,4,1,14,2,1,4,1,19,3,1,4,10,13,1,5,67,3,1,3,1,1,1,1,3,11,1,1,5,

%T 4,3,3,1,16,1,1,1,2,3,5,1,1,41,1,1,4,17,3,24,1,7,307,8,1,1,2,1,2,3,2,

%U 3,4,1,2,3,1,1,21,3,17,2,5,5,1,1,2,1,2,915,1,1,2,4,1,1,1,3,1,19,54,3,1,9,8

%N Continued fraction for gamma^e, where gamma is the Euler-Mascheroni constant.

%e gamma^e =.224517251983232062665128293743... = 0 + 1/(4 + 1/(2 + 1/(4 + 1/(1 + ...))))

%p with(numtheory): Digits := 300: convert(evalf(gamma^exp(1)), confrac);

%Y Cf. A001620 (gamma), A073018 (decimal expansion).

%Y Cf. A094644, A079650, A073004.

%K nonn,cofr

%O 0,2

%A _Michel Lagneau_, Aug 03 2010