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A113024 Decimal expansion of Sum_{i=1..inf.} -(-1)^i*1/sqrt(i). +0
1
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; cons; graph; listen)
OFFSET

0,1

COMMENT

1 - 1/sqrt(2) + 1/sqrt(3) - 1/sqrt(4) + 1/sqrt(5) - 1/sqrt(6) + 1/sqrt(7) ...

0.60489864342163037024726591423595549975976254513024738037854664808...

REFERENCES

Stephen Fletcher Hewson, A Mathematical Bridge: An Intuitive Journey In Higher Mathematics, World Scientific, NJ, 2003, p. 83.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics..

FORMULA

(1-sqrt(2))*Zeta(1/2) = (-1+A002193) * A059750.

MATHEMATICA

RealDigits[(1 - Sqrt[2])Zeta[1/2], 10, 111][[1]]

CROSSREFS

Cf. A002193, A059750.

Sequence in context: A073010 A100120 A132709 this_sequence A112280 A021627 A079540

Adjacent sequences: A113021 A113022 A113023 this_sequence A113025 A113026 A113027

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 11 2005

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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