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

1,2

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.

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

Example

1.32934038817913702047362561250585888709816209209179034616...

Mathematica

RealDigits[Gamma[5/2], 10, 100] // First

Prog

(PARI) gammah(2) \\ Michel Marcus, Feb 11 2016

Crossrefs

Cf. A019704, A245885.

Sequence in context: A349213 A228936 A169862 * A192492 A351444 A104005

Adjacent sequences: A245881 A245882 A245883 * A245885 A245886 A245887

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 05 2014

Status

approved