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A243452 Decimal expansion of the variance of the maximum of a size 4 sample from a normal (0,1) distribution. 5
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 (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..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 A199788

Adjacent sequences:  A243449 A243450 A243451 * A243453 A243454 A243455

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Jun 05 2014

STATUS

approved

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Last modified January 20 17:47 EST 2018. Contains 297961 sequences.