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Decimal expansion of Integral_{x=0..oo} exp(-x^5) dx.
1

%I #5 Apr 10 2024 09:15:10

%S 9,1,8,1,6,8,7,4,2,3,9,9,7,6,0,6,1,0,6,4,0,9,5,1,6,5,5,1,8,5,8,3,0,4,

%T 0,0,6,8,6,8,2,1,9,9,9,6,5,8,6,8,0,6,0,3,5,5,7,7,7,0,6,2,7,2,4,6,0,0,

%U 7,8,5,4,6,2,1,2,8,8,9,9,9,7,9,4,8,0,7,8,8,1,6,5,7,5,5,7,0,1,4,9,1,3,8,2

%N Decimal expansion of Integral_{x=0..oo} exp(-x^5) dx.

%H <a href="/index/Ga#gamma_function">Index to sequences related to the Gamma function</a>

%F Equals Gamma(6/5).

%F Equals A175380 / 5.

%e 0.91816874239976061064095165518583040068682...

%t RealDigits[Gamma[6/5], 10, 104][[1]]

%Y Decimal expansion of Integral_{x=0..oo} exp(-x^k) dx: A019704 (k=2), A202623 (k=3), A068467 (k=4), this sequence (k=5), A203126 (k=6), A371857 (k=7), A203125 (k=8).

%Y Cf. A175380.

%K nonn,cons

%O 0,1

%A _Ilya Gutkovskiy_, Apr 09 2024