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A243453 Decimal expansion of the expectation of the maximum of a size 5 sample from a normal (0,1) distribution. 5
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 (list; constant; graph; refs; listen; history; text; internal format)
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-Fran├žois Alcover, Jun 05 2014

STATUS

approved

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Last modified January 22 08:43 EST 2018. Contains 298042 sequences.