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A087197
Decimal expansion of 1/sqrt(Pi).
25
5, 6, 4, 1, 8, 9, 5, 8, 3, 5, 4, 7, 7, 5, 6, 2, 8, 6, 9, 4, 8, 0, 7, 9, 4, 5, 1, 5, 6, 0, 7, 7, 2, 5, 8, 5, 8, 4, 4, 0, 5, 0, 6, 2, 9, 3, 2, 8, 9, 9, 8, 8, 5, 6, 8, 4, 4, 0, 8, 5, 7, 2, 1, 7, 1, 0, 6, 4, 2, 4, 6, 8, 4, 4, 1, 4, 9, 3, 4, 1, 4, 4, 8, 6, 7, 4, 3, 6, 6, 0, 2, 0, 2, 1, 0, 7, 3, 6, 3, 4, 4, 3, 0, 2, 8
OFFSET
0,1
COMMENTS
Radius of a circle with area 1.
Expectation of the maximum of a size 2 sample from a normal (0,1) distribution. - Jean-François Alcover, Jun 05 2014
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.16 Extreme value constants, p. 365.
LINKS
Eric Weisstein's World of Mathematics, Inverse Erf
FORMULA
Equals lim_{n -> infinity} Catalan(n)/(4^n*n^(-3/2)). - Jean-François Alcover, May 23 2013
Equals Sum_{k>=1} k/(2^k * Gamma(k+3/2)). - Amiram Eldar, May 27 2021
EXAMPLE
0.56418958354775628694...
MATHEMATICA
RealDigits[1/Sqrt[Pi], 10, 50][[1]] (* G. C. Greubel, Jan 09 2017 *)
PROG
(PARI) Pi^-.5 \\ Charles R Greathouse IV, Nov 13 2015
CROSSREFS
KEYWORD
cons,easy,nonn
AUTHOR
Sven Simon, Aug 24 2003
STATUS
approved