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

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, 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, 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

Offset: 1

Author

Jean-François Alcover, Jun 05 2014

Keywords

• nonn
• cons
• easy

Comments

Expectation of the maximum of a size 4 sample from a normal (0,1) distribution.

References

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

Crossrefs

Cf. A087197, A188340, A243446, A243447.

Programs

Mathematica

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