A245260 Decimal expansion of the root of the equation r*log(r/(1-r))=1.

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Formula

Equals 1/(1+LambertW(exp(-1))).

Example

0.78218829428019990122029707592674478018190840396629951687...

Maple

evalf(solve(r*log(r/(1-r))=1), 100)

Mathematica

RealDigits[r/.FindRoot[r*Log[r/(1-r)]==1, {r, 3/4}, WorkingPrecision->250], 10, 200][[1]]
RealDigits[1/(1+LambertW[E^(-1)]), 10, 200][[1]]

Crossrefs

Cf. A072034, A220359, A237421, A245259.

Sequence in context: A171274 A126625 A154169 * A128755 A088367 A196610

Adjacent sequences: A245257 A245258 A245259 * A245261 A245262 A245263

Keyword

nonn,cons

Author

Vaclav Kotesovec, Jul 15 2014

Status

approved