login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A243524 Decimal expansion of the expectation of the maximum of a size 7 sample from a normal (0,1) distribution. 2
1, 3, 5, 2, 1, 7, 8, 3, 7, 5, 6, 0, 6, 9, 0, 4, 3, 9, 9, 2, 2, 8, 9, 2, 2, 1, 6, 6, 8, 2, 8, 5, 7, 7, 3, 4, 5, 2, 9, 3, 2, 8, 5, 8, 4, 3, 5, 0, 2, 1, 9, 2, 2, 0, 6, 0, 8, 3, 4, 6, 8, 3, 5, 9, 6, 2, 3, 9, 5, 3, 7, 4, 9, 2, 2, 5, 7, 3, 7, 1, 9, 8, 8, 7, 1, 8, 0, 1, 4, 2, 1, 1, 6, 8, 2, 4, 0, 3, 0, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

LINKS

Table of n, a(n) for n=1..100.

FORMULA

(21*(Pi*(Pi-5*arccsc(sqrt(3))) + 5*integral_(x=0..arccsc(sqrt(3)))(arcsin(sqrt(3)*sqrt(1/(8-tan(x)^2))))))/(2*Pi^(5/2)).

EXAMPLE

1.3521783756069043992289221668285773452932858435...

MATHEMATICA

digits = 100; mu[7] = (21*(Pi*(Pi - 5*ArcCsc[Sqrt[3]]) + 5*NIntegrate[ ArcSin[Sqrt[3]*Sqrt[1/(8 - Tan[x]^2)]], {x, 0, ArcCsc[Sqrt[3]]}, WorkingPrecision -> digits + 5]))/(2* Pi^(5/2)); RealDigits[mu[7], 10, digits] // First

CROSSREFS

Cf. A087197, A243446, A243448, A243453, A243523.

Sequence in context: A308180 A126353 A094791 * A272300 A115406 A059246

Adjacent sequences:  A243521 A243522 A243523 * A243525 A243526 A243527

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jun 06 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 19 11:06 EDT 2019. Contains 327192 sequences. (Running on oeis4.)