A243453 Decimal expansion of the expectation of the maximum of a size 5 sample from a normal (0,1) distribution.

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

Offset

1,3

References

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

Links

G. C. Greubel, Table of n, a(n) for n = 1..5000

Formula

5/sqrt(Pi) - 15*arccsc(sqrt(3))/Pi^(3/2).

Example

1.1629644736405196127722679885505014941...

Mathematica

RealDigits[5/Sqrt[Pi] - 15*ArcCsc[Sqrt[3]]/Pi^(3/2), 10, 102] // First

Prog

(PARI) 5/sqrt(Pi) - 15*asin(1/sqrt(3))/Pi^(3/2) \\ G. C. Greubel, Feb 01 2017

Crossrefs

Cf. A087197, A188340, A243446, A243447, A243448, A243452.

Sequence in context: A118388 A213913 A195491 * A142871 A195411 A050235

Adjacent sequences: A243450 A243451 A243452 * A243454 A243455 A243456

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 05 2014

Status

approved