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A106533
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Rumor's constant: the decimal expansion of the number x defined by x*e^(2-2*x)=1.
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0
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2, 0, 3, 1, 8, 7, 8, 6, 9, 9, 7, 9, 9, 7, 9, 9, 5, 3, 8, 3, 8, 4, 7, 9, 0, 6, 2, 0, 6, 2, 4, 1, 9, 8, 7, 9, 1, 0, 5, 4, 9, 8, 7, 8, 7, 5, 9, 0, 5, 7, 0, 3, 1, 7, 5, 0, 0, 2, 4, 7, 7, 4, 4, 1, 5, 1, 9, 5, 7, 5, 0, 7, 5, 9, 1, 9, 0, 6, 0, 2, 4, 8, 8, 3, 6, 2, 5, 0, 3, 6, 1, 6, 9, 0, 7, 7, 9, 6, 4, 2, 9, 1, 4, 6, 9
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| Daley, D. J. and D. G. Kendall. 1965. Stochastic rumours. Journal of the Institute of Mathematics and Its Applications 1:42-55.
Brian Hayes, Rumours and Errours, American Scientist, Vol. 93, Nbr. 3, 2005, pp. 207-211.
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FORMULA
| Solution to x*e^(2-2x)=1 with x not equal to 1.
-1/2*LambertW(-2*exp(-2)). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 30 2005
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EXAMPLE
| c = 0.20318786997997995383847906206241987910549878759057031750024774...
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MATHEMATICA
| RealDigits[ -ProductLog[ -2/E^2]/2, 10, 111][[1]]
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CROSSREFS
| Cf. A007456.
Sequence in context: A005307 A143351 A158449 * A192421 A035223 A035184
Adjacent sequences: A106530 A106531 A106532 * A106534 A106535 A106536
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KEYWORD
| cons,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), May 03 2005
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