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A145432
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Decimal expansion of sum_{n=1..inf} (-1)^(n-1)*2^n/binomial(2n,n).
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0
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5, 8, 6, 7, 8, 1, 9, 9, 8, 7, 6, 6, 9, 8, 2, 1, 1, 5, 8, 4, 3, 6, 9, 8, 0, 8, 4, 9, 6, 0, 1, 3, 5, 2, 7, 4, 7, 3, 3, 8, 7, 5, 9, 1, 0, 3, 1, 5, 7, 2, 5, 4, 7, 5, 6, 7, 3, 5, 2, 3, 5, 5, 6, 7, 5, 3, 3, 5, 1, 7, 0, 7, 5, 5, 1, 6, 3, 6, 9, 1, 7, 6, 7, 6, 1, 5, 2, 7, 8, 8, 2, 6, 6
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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), 4.1.38
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LINKS
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FORMULA
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(1+log(2+sqrt(3))/sqrt(3))/3 .
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EXAMPLE
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0.58678199876...
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MAPLE
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1/3+1/9*ln(2+3^(1/2))*3^(1/2) ;
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MATHEMATICA
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RealDigits[Sum[(-1)^(n-1) 2^n/Binomial[2n, n], {n, \[Infinity]}], 10, 120][[1]] (* Harvey P. Dale, Apr 22 2022 *)
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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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