A229553 - OEIS

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

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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