A203129 - OEIS

%I #24 May 02 2024 04:28:04

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

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

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

%N Decimal expansion of (2/3)! = Gamma(5/3).

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

%F Equals 2*A073006/3. - _R. J. Mathar_, Jan 15 2021

%F Equals Integral_{x=0..oo} exp(-x^(3/2)) dx. - _Ilya Gutkovskiy_, Apr 10 2024

%F Equals sqrt(Pi)*Gamma(7/3)/(2^(4/3)*Gamma(7/6)). - _Gerry Martens_, May 01 2024

%F Equals 4*Pi / (3^(3/2) * Gamma(1/3)). - _Vaclav Kotesovec_, May 02 2024

%e 0.90274529295093361129685868543634252367955151070452913226268...

%t RealDigits[Gamma[5/3], 10, 120][[1]] (* _Amiram Eldar_, May 29 2023 *)

%o (PARI) gamma(5/3) \\ _Charles R Greathouse IV_, Mar 25 2014

%Y Cf. A073006.

%K nonn,cons

%O 0,1

%A _N. J. A. Sloane_, Dec 29 2011