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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
OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.16 Extreme value constants, p. 365.
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
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved