A243452 Decimal expansion of the variance of the maximum of a size 4 sample from a normal (0,1) distribution.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.16 Extreme value constants, p. 365.

Links

Table of n, a(n) for n=0..101.

Formula

1 + sqrt(3)/Pi - 36*arcsec(sqrt(3))^2/Pi^3.

Example

0.4917152368747417606817470099858870229...

Mathematica

RealDigits[1 + Sqrt[3]/Pi - 36*ArcSec[Sqrt[3]]^2/Pi^3, 10, 102] // First

Crossrefs

Cf. A087197, A188340, A243446, A243447, A243448.

Sequence in context: A001191 A120865 A219031 * A133868 A295709 A316295

Adjacent sequences: A243449 A243450 A243451 * A243453 A243454 A243455

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 05 2014

Status

approved