A245884 - OEIS

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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

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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