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A229704
Decimal expansion of the absolute value of sum_{k>=1} (-1)^k/(k*binomial(3k,k)).
0
3, 0, 3, 5, 2, 1, 9, 0, 4, 9, 7, 2, 3, 4, 9, 1, 5, 4, 3, 7, 3, 7, 9, 0, 6, 3, 4, 7, 2, 9, 4, 7, 9, 6, 0, 1, 8, 8, 6, 2, 4, 7, 3, 9, 4, 2, 1, 6, 6, 7, 1, 3, 7, 8, 4, 3, 0, 3, 0, 6, 4, 2, 5, 3, 1, 8, 6, 9, 1, 7, 3, 5, 0, 6, 8, 2, 4, 3, 6, 5, 4, 1, 0, 1, 3, 1, 1, 5, 0, 1, 1, 7, 4, 2, 1, 7, 9, 2, 1, 6, 0, 3, 1, 3, 2
OFFSET
0,1
LINKS
J. M. Borwein, R. Girgensohn, Evaluations of binomial series, Aequat. Math. 70 (2005) 25-36, Eq. (71).
EXAMPLE
-0.3035219049723491543737906347..
MATHEMATICA
HypergeometricPFQ[{1, 1, 3/2}, {4/3, 5/3}, -(4/27)]/3 // RealDigits[#, 10, 105]& // First (* Jean-François Alcover, Feb 18 2014 *)
CROSSREFS
Sequence in context: A127749 A198431 A138188 * A372865 A014715 A131656
KEYWORD
nonn,cons
AUTHOR
R. J. Mathar, Sep 27 2013
STATUS
approved