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A113024
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Decimal expansion of Sum_{i=1..inf.} -(-1)^i*1/sqrt(i).
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0
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6, 0, 4, 8, 9, 8, 6, 4, 3, 4, 2, 1, 6, 3, 0, 3, 7, 0, 2, 4, 7, 2, 6, 5, 9, 1, 4, 2, 3, 5, 9, 5, 5, 4, 9, 9, 7, 5, 9, 7, 6, 2, 5, 4, 5, 1, 3, 0, 2, 4, 7, 3, 8, 0, 3, 7, 8, 5, 4, 6, 6, 4, 8, 0, 8, 2, 1, 8, 7, 2, 5, 3, 4, 9, 5, 0, 6, 0, 3, 5, 7, 3, 2, 7, 4, 0, 3, 9, 5, 6, 9, 1, 8, 3, 4, 9, 5, 5, 4, 3, 8, 3, 0, 3, 3
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 1 - 1/sqrt(2) + 1/sqrt(3) - 1/sqrt(4) + 1/sqrt(5) - 1/sqrt(6) + 1/sqrt(7) ...
0.60489864342163037024726591423595549975976254513024738037854664808...
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REFERENCES
| Stephen Fletcher Hewson, A Mathematical Bridge: An Intuitive Journey In Higher Mathematics, World Scientific, NJ, 2003, p. 83.
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics..
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FORMULA
| (1-sqrt(2))*Zeta(1/2) = (-1+A002193) * A059750.
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MATHEMATICA
| RealDigits[(1 - Sqrt[2])Zeta[1/2], 10, 111][[1]]
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CROSSREFS
| Cf. A002193, A059750.
Sequence in context: A132709 A197148 A196623 * A112280 A204850 A202394
Adjacent sequences: A113021 A113022 A113023 * A113025 A113026 A113027
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KEYWORD
| cons,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 11 2005
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