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A243447 Decimal expansion of 1-9/(4*Pi)+sqrt(3)/(2*Pi), an extreme value constant. 7

%I #9 Sep 28 2022 13:58:13

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

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

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

%N Decimal expansion of 1-9/(4*Pi)+sqrt(3)/(2*Pi), an extreme value constant.

%C Variance of the maximum of a size 3 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 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%e 0.55946720379736701379568631398017...

%t RealDigits[1 - 9/(4*Pi) + Sqrt[3]/(2*Pi), 10, 100] // First

%o (PARI) 1-9/4/Pi + sqrt(3)/2/Pi \\ _Charles R Greathouse IV_, Sep 28 2022

%Y Cf. A087197, A188340, A243446.

%K nonn,cons,easy

%O 0,1

%A _Jean-François Alcover_, Jun 05 2014

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