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A243454 Decimal expansion of the variance of the maximum of a size 5 sample from a normal (0,1) distribution. 3
4, 4, 7, 5, 3, 4, 0, 6, 9, 0, 2, 0, 6, 6, 1, 9, 8, 8, 7, 6, 5, 6, 8, 4, 6, 5, 7, 7, 3, 0, 9, 8, 2, 6, 8, 5, 5, 3, 5, 5, 6, 3, 8, 2, 1, 5, 6, 8, 5, 4, 0, 1, 7, 1, 7, 8, 4, 9, 2, 4, 7, 5, 2, 7, 9, 4, 6, 3, 7, 2, 9, 3, 8, 8, 2, 0, 5, 5, 9, 8, 4, 9, 2, 6, 7, 1, 7, 6, 4, 9, 5, 2, 6, 5, 3, 7, 9, 9, 9, 1, 3 (list; constant; graph; refs; listen; history; text; internal format)
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..100.

FORMULA

1 - 25/Pi + 150*arccsc(sqrt(3))/Pi^2 + 5*sqrt(3)*arcsec(2*sqrt(2/3))/Pi^2 - 225*arccsc(sqrt(3))^2/Pi^3.

EXAMPLE

0.44753406902066198876568465773...

MATHEMATICA

RealDigits[1 - 25/Pi + 150*ArcCsc[Sqrt[3]]/Pi^2 + 5*Sqrt[3]*ArcSec[2*Sqrt[2/3]]/Pi^2 - 225*ArcCsc[Sqrt[3]]^2/Pi^3, 10, 101] // First

CROSSREFS

Cf. A087197, A188340, A243446, A243447, A243448, A243452, A243453.

Sequence in context: A146564 A048785 A271781 * A204008 A237708 A016711

Adjacent sequences:  A243451 A243452 A243453 * A243455 A243456 A243457

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Jun 05 2014

STATUS

approved

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Last modified January 18 20:35 EST 2018. Contains 297865 sequences.