A245885 -id:A245885 - cp's OEIS frontend

A019718 Decimal expansion of sqrt(Pi)/16.

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

Offset: 0

N. J. A. Sloane

			0.110778365681594751706135467708821573924846841...

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Index entries for transcendental numbers

Cf. A245885.

RealDigits[Sqrt[Pi]/16 ,10,120][[1]] (* Harvey P. Dale, Jul 21 2018 *)

sqrt(Pi)/16 \\ Charles R Greathouse IV, Oct 01 2022

Equals A245885/30. - Hugo Pfoertner, Apr 10 2024

A245884 Decimal expansion of Gamma(5/2), where Gamma is Euler's gamma function.

Original entry on oeis.org

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

Jean-François Alcover, Aug 05 2014

			1.32934038817913702047362561250585888709816209209179034616...

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.

Cf. A019704, A245885.

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

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

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

cp's OEIS Frontend

A019718 Decimal expansion of sqrt(Pi)/16.

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