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A289091 Decimal expansion of (E(|x|^5))^(1/5), with x being a normally distributed random variable. 4
1, 4, 4, 8, 7, 9, 1, 9, 0, 1, 5, 4, 9, 3, 0, 5, 2, 8, 5, 2, 5, 3, 5, 4, 6, 5, 9, 8, 8, 1, 2, 8, 1, 0, 5, 8, 8, 2, 1, 3, 4, 0, 1, 0, 3, 9, 3, 5, 1, 9, 6, 7, 8, 0, 7, 2, 9, 5, 0, 3, 0, 5, 8, 0, 1, 5, 5, 4, 3, 6, 2, 8, 4, 7, 7, 4, 2, 7, 2, 8, 1, 2, 0, 5, 4, 2, 7, 4, 0, 2, 8, 1, 2, 4, 3, 6, 3, 3, 8, 6, 9, 7, 4, 9, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The 5th root r(5) of the expected value E(|x|^5) for a normal distribution with zero mean and standard deviation 1. See A289090 for more details.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..1000

Wikipedia, Normal distribution

FORMULA

a = r(5), where r(p) = ((p-1)!!*sqrt(2/Pi))^(1/p).

a = (8*A076668)^(1/5).

EXAMPLE

1.44879190154930528525354659881281058821340103935196780729503058015...

PROG

(PARI) // General code, for any p > 0:

r(p) = (sqrt(2/Pi)^(p%2)*prod(k=0, (p-2)\2, p-1-2*k))^(1/p);

a = r(5) // Present instance

CROSSREFS

Cf. A060294, A076668 (p=1), A289090 (p=3), A011002 (p=4), A011350 (p=6).

Sequence in context: A165662 A110648 A198936 * A019674 A264606 A016712

Adjacent sequences:  A289088 A289089 A289090 * A289092 A289093 A289094

KEYWORD

nonn,cons

AUTHOR

Stanislav Sykora, Jul 26 2017

STATUS

approved

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Last modified September 26 10:52 EDT 2017. Contains 292518 sequences.