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A137209
Decimal expansion of (1/2)*sqrt(3/Pi).
1
4, 8, 8, 6, 0, 2, 5, 1, 1, 9, 0, 2, 9, 1, 9, 9, 2, 1, 5, 8, 6, 3, 8, 4, 6, 2, 2, 8, 3, 8, 3, 4, 7, 0, 0, 4, 5, 7, 5, 8, 8, 5, 6, 0, 8, 1, 9, 4, 2, 2, 7, 7, 0, 2, 1, 3, 8, 2, 4, 3, 1, 5, 7, 4, 4, 5, 8, 4, 1, 0, 0, 0, 3, 6, 1, 6, 3, 6, 5, 3, 0, 4, 0, 5, 6, 1, 4, 8, 1, 8, 7, 0, 3, 9, 7, 0, 0, 4, 2, 4, 1, 5, 7, 6, 4
OFFSET
0,1
COMMENTS
Decimal expansion of the radius x (in units of cube edge length) of sphere with volume x (in units of cube volume).
Appears in the asymptotic expansions of A228484 and A006588. - Johannes W. Meijer, Aug 22 2013
LINKS
Amir Behrouzi-Far, and Doron Zeilberger, On the Average Maximal Number of Balls in a Bin Resulting from Throwing r Balls into n Bins T times, arXiv:1905.07827 [math.CO], 2019.
Marcus Michelen, A Short Note on the Average Maximal Number of Balls in a Bin, Journal of Integer Sequences, Vol. 23 (2020), Article 20.1.7. See C 3,1 Table 2 p. 6. And also on arXiv, arXiv:1905.08933 [math.CO], 2019.
EXAMPLE
0.488602511902919921586384622
MATHEMATICA
RealDigits[1/2 Sqrt[3/Pi], 10, 120][[1]] (* Harvey P. Dale, Jul 11 2017 *)
PROG
(PARI) sqrt(3)/(2*sqrt(Pi)) \\ Michel Marcus, Jun 05 2020
CROSSREFS
Cf. A135691.
Sequence in context: A227896 A114610 A200390 * A329506 A032566 A330555
KEYWORD
cons,nonn
AUTHOR
Zak Seidov, Mar 05 2008
STATUS
approved