login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Decimal expansion of Integral_{x=0..oo} exp(-x^7) dx.
1

%I #4 Apr 10 2024 09:15:18

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

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

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

%N Decimal expansion of Integral_{x=0..oo} exp(-x^7) dx.

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

%F Equals Gamma(8/7).

%F Equals A220086 / 7.

%e 0.9354375628925463482448704784898566089...

%t RealDigits[Gamma[8/7], 10, 106][[1]]

%Y Decimal expansion of Integral_{x=0..oo} exp(-x^k) dx: A019704 (k=2), A202623 (k=3), A068467 (k=4), A371856 (k=5), A203126 (k=6), this sequence (k=7), A203125 (k=8).

%Y Cf. A220086.

%K nonn,cons

%O 0,1

%A _Ilya Gutkovskiy_, Apr 09 2024