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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

%I #5 Jun 05 2014 11:35:42

%S 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,

%T 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,

%U 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

%N Decimal expansion of the variance of the maximum of a size 4 sample from a normal (0,1) distribution.

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

%F 1 + sqrt(3)/Pi - 36*arcsec(sqrt(3))^2/Pi^3.

%e 0.4917152368747417606817470099858870229...

%t RealDigits[1 + Sqrt[3]/Pi - 36*ArcSec[Sqrt[3]]^2/Pi^3, 10, 102] // First

%Y Cf. A087197, A188340, A243446, A243447, A243448.

%K nonn,cons,easy

%O 0,1

%A _Jean-François Alcover_, Jun 05 2014

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