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A243448 Decimal expansion of 6*arcsec(sqrt(3))/Pi^(3/2), an extreme value constant. 6

%I #7 Jun 05 2014 11:35:53

%S 1,0,2,9,3,7,5,3,7,3,0,0,3,9,6,4,1,3,2,0,5,6,9,8,6,6,4,6,9,8,0,9,7,3,

%T 1,8,3,4,8,5,3,7,3,8,7,8,3,9,2,6,6,5,2,4,7,0,9,6,1,1,9,6,2,2,0,2,7,7,

%U 4,2,8,5,7,3,4,9,1,7,3,6,1,6,0,6,6,4,8,0,2,7,1,6,2,8,3,6,0,0,9

%N Decimal expansion of 6*arcsec(sqrt(3))/Pi^(3/2), an extreme value constant.

%C Expectation 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.

%t RealDigits[6*ArcSec[Sqrt[3]]/Pi^(3/2), 10, 99] // First

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

%K nonn,cons,easy

%O 1,3

%A _Jean-François Alcover_, Jun 05 2014

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