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A073010
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Decimal expansion of sum(1/(n*binomial(2*n,n)), n=1..infinity).
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6
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6, 0, 4, 5, 9, 9, 7, 8, 8, 0, 7, 8, 0, 7, 2, 6, 1, 6, 8, 6, 4, 6, 9, 2, 7, 5, 2, 5, 4, 7, 3, 8, 5, 2, 4, 4, 0, 9, 4, 6, 8, 8, 7, 4, 9, 3, 6, 4, 2, 4, 6, 8, 5, 8, 5, 2, 3, 2, 9, 4, 9, 7, 8, 4, 6, 2, 7, 0, 7, 7, 2, 7, 0, 4, 2, 1, 1, 7, 9, 6, 1, 2, 2, 8, 0, 4, 1, 6, 6, 2, 7, 3, 7, 3, 5, 3, 3, 8, 9, 6, 1, 8, 7, 4, 0
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| This appears to be pi/sqrt(27). See A111510. - Marco Matosic (marcomatosic(AT)hotmail.com), Feb 27 2008
This is Pi*sqrt(3)/9 = A019676*A002194, see eq (12) in D. H. Lehmer, Am. Math. Monthly 92 (1985) 449. [From R. J. Mathar, Mar 04 2009]
Value of the Dirichlet L-series of the non-principal character modulo m=3 (A102283) at s=1. - R. J. Mathar, Oct 03 2011
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REFERENCES
| Jolley, Summation of Series, Dover (1961) eq (81) page 16.
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LINKS
| Simon Plouffe, Sum(1/(n*binomial(2*n,n)), n=1..infinity)
Eric Weisstein's World of Mathematics, Central Binomial Coefficient
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EXAMPLE
| 0.60459978807807261686469275254738524409468...
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MATHEMATICA
| RealDigits[ N [Sum[1/(n*Binomial[2n, n]), {n, 1, Infinity}], 110]] [[1]]
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CROSSREFS
| Sequence in context: A094830 A196878 A021947 * A100120 A132709 A197148
Adjacent sequences: A073007 A073008 A073009 * A073011 A073012 A073013
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KEYWORD
| cons,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 03 2002
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