A226775 Decimal expansion of the number x other than -2 defined by x*exp(x) = -2/e^2.

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

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..10000

Formula

Equals -2*A106533.

Equals LambertW(-2*exp(-2)).

Example

-0.4063757399599599076769581241248397582109975751811406350004954883....

Mathematica

RealDigits[N[ProductLog[-2/E^2], 105]][[1]] (* corrected by Vaclav Kotesovec, Feb 21 2014 *)

Prog

(PARI) solve(x=-1, x=0, x*exp(x) + 2*exp(-2)) \\ G. C. Greubel, Nov 15 2017

Crossrefs

Cf. A106533, A187655, A187657, A217899, A217900, A226750, A243227, A245109, A247238, A258467, A337458.

Sequence in context: A200692 A360044 A127447 * A338682 A305731 A279433

Adjacent sequences: A226772 A226773 A226774 * A226776 A226777 A226778

Keyword

nonn,cons

Author

José María Grau Ribas, Jun 17 2013

Status

approved