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A145433
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Decimal expansion of Sum_{n>=1} (-1)^(n-1)*n/binomial(2n,n).
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5
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2, 7, 4, 4, 3, 2, 7, 1, 5, 2, 7, 7, 1, 2, 0, 3, 2, 3, 1, 1, 1, 1, 5, 4, 6, 5, 8, 6, 3, 6, 0, 4, 8, 4, 3, 4, 0, 3, 3, 9, 6, 5, 6, 5, 4, 6, 0, 3, 2, 2, 3, 1, 7, 2, 3, 8, 0, 5, 6, 0, 4, 8, 8, 3, 1, 9, 4, 0, 4, 8, 9, 7, 2, 3, 6, 8, 9, 0, 5, 5, 6, 9, 0, 8, 9, 1, 9, 2, 2, 1, 1, 7, 5
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OFFSET
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0,1
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REFERENCES
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Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, (1996), 4.1.39
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LINKS
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FORMULA
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EXAMPLE
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0.274432715277120323...
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MAPLE
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6/25+4/125*5^(1/2)*ln(1/2+1/2*5^(1/2)) ;
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MATHEMATICA
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RealDigits[6/25 + 4*Sqrt[5]*Log[GoldenRatio]/125, 10, 93] // First (* Jean-François Alcover, Oct 27 2014 *)
RealDigits[Hypergeometric2F1[2, 2, 3/2, -1/4]/2, 10, 93] // First (* Vaclav Kotesovec, Oct 27 2014 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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