A229553 Decimal expansion of the unique solution > 1 of the equation x*log(x)=2(x-1).

4, 9, 2, 1, 5, 5, 3, 6, 3, 4, 5, 6, 7, 5, 0, 5, 0, 9, 2, 4, 5, 6, 7, 6, 2, 3, 1, 1, 7, 5, 4, 4, 7, 8, 7, 4, 1, 5, 9, 4, 4, 2, 7, 6, 1, 7, 3, 4, 9, 9, 0, 8, 3, 4, 1, 5, 9, 2, 3, 9, 5, 5, 9, 4, 5, 7, 7, 3, 2, 2, 2, 8, 4, 7, 9, 8, 0, 9, 7, 9, 7, 7, 6, 4, 0, 8, 3

Offset

1,1

References

Steven R. Finch, Mathematical Constants (2.23 Diophantine approximation constants), Cambridge University Press, 2003, p. 177.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

exp(W(-2/e^2)+2) where W is the Lambert/ProductLog function.

Example

4.921553634567505092456762311754478741594427617349908341592395594577322284798...

Mathematica

Exp[ProductLog[-2/E^2] + 2] // RealDigits[#, 10, 100]& // First

Crossrefs

Sequence in context: A129970 A006830 A238592 * A254061 A098174 A126709

Adjacent sequences: A229550 A229551 A229552 * A229554 A229555 A229556

Keyword

nonn,cons

Author

Jean-François Alcover, Sep 30 2013

Status

approved