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A073017
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Decimal expansion of the product(1+1/n^3,n=1..infinity).
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0
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2, 4, 2, 8, 1, 8, 9, 7, 9, 2, 0, 9, 8, 8, 7, 0, 3, 2, 8, 7, 3, 6, 0, 4, 1, 4, 3, 6, 1, 7, 9, 1, 4, 6, 3, 5, 8, 1, 1, 8, 3, 6, 2, 9, 4, 4, 7, 8, 3, 3, 9, 0, 4, 9, 7, 6, 3, 2, 7, 4, 9, 9, 7, 4, 7, 2, 6, 4, 4, 4, 7, 3, 4, 1, 2, 0, 8, 6, 8, 3, 6, 8, 1, 2, 3, 8, 0, 5, 5, 0, 1, 5, 7, 2, 0, 5, 9, 0, 4, 3, 8, 8, 1, 3, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Simon Plouffe, product(1+1/n**3,n=1..infinity)
S. Ramanujan, Notebook entry
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FORMULA
| Sum(1/Binomial(2*n, n), n=1..infinity) = 1/Gamma(-(-1)^(1/3))Gamma((-1)^(2/3)) = Cosh(0.5 * Sqrt(3) * Pi)/Pi.
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EXAMPLE
| 2.42818979209887032873604143617914635...
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MATHEMATICA
| RealDigits[ Re [N [Product[1 + 1/n^3, {n, 1, Infinity}], 110]]] [[1]]
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CROSSREFS
| Sequence in context: A021416 A094756 A110925 * A171977 A059866 A093895
Adjacent sequences: A073014 A073015 A073016 * A073018 A073019 A073020
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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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