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Decimal expansion of the expectation of the maximum of a size 5 sample from a normal (0,1) distribution.
5

%I #8 Feb 01 2017 13:09:42

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

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

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

%N Decimal expansion of the expectation of the maximum of a size 5 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.

%H G. C. Greubel, <a href="/A243453/b243453.txt">Table of n, a(n) for n = 1..5000</a>

%F 5/sqrt(Pi) - 15*arccsc(sqrt(3))/Pi^(3/2).

%e 1.1629644736405196127722679885505014941...

%t RealDigits[5/Sqrt[Pi] - 15*ArcCsc[Sqrt[3]]/Pi^(3/2), 10, 102] // First

%o (PARI) 5/sqrt(Pi) - 15*asin(1/sqrt(3))/Pi^(3/2) \\ _G. C. Greubel_, Feb 01 2017

%Y Cf. A087197, A188340, A243446, A243447, A243448, A243452.

%K nonn,cons,easy

%O 1,3

%A _Jean-François Alcover_, Jun 05 2014