A245884 Decimal expansion of Gamma(5/2), where Gamma is Euler's gamma function.
1, 3, 2, 9, 3, 4, 0, 3, 8, 8, 1, 7, 9, 1, 3, 7, 0, 2, 0, 4, 7, 3, 6, 2, 5, 6, 1, 2, 5, 0, 5, 8, 5, 8, 8, 8, 7, 0, 9, 8, 1, 6, 2, 0, 9, 2, 0, 9, 1, 7, 9, 0, 3, 4, 6, 1, 6, 0, 3, 5, 5, 8, 4, 2, 3, 8, 9, 6, 8, 3, 4, 6, 3, 4, 4, 3, 2, 7, 4, 1, 3, 6, 0, 3, 1, 2, 1, 2, 9, 9, 2, 5, 5, 3, 9, 0, 8, 4, 9, 9
Offset: 1
Examples
1.32934038817913702047362561250585888709816209209179034616...
Links
- G. C. Greubel, Table of n, a(n) for n = 1..10000
- Eric Weisstein's MathWorld, Gamma Function.
- Wikipedia, Particular values of the Gamma function.
Programs
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Mathematica
RealDigits[Gamma[5/2], 10, 100] // First
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PARI
gammah(2) \\ Michel Marcus, Feb 11 2016
Formula
Equals (3/4)*sqrt(Pi) = (3/2)*A019704.
Equals Sum_{k>=1} (k+1/2)!/(k+2)!. - Amiram Eldar, Jun 19 2023
Equals Integral_{x=0..oo} exp(-x^(2/3)) dx. - Ilya Gutkovskiy, Apr 10 2024