A201942 Decimal expansion of the number x satisfying log(x)=e^(-x)

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

Offset

1,2

Comments

Also the solution of x=e^e^(-x). The Mathematica program includes intersecting graphs of y=log(x) and y=e^(-x), as well as y=x, y=e^e^(-x).

Links

Table of n, a(n) for n=1..99.

Example

x=1.30979958580415047766923370196817250...

Mathematica

Plot[{Log[x], E^-x, , x, E^E^-x}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[Log[x] == E^-x, {x, 1.3, 1.4}, WorkingPrecision -> 110]
RealDigits[r]  (* A201942 *)

Crossrefs

Cf. A076903.

Sequence in context: A011083 A321463 A197689 * A181831 A241536 A080407

Adjacent sequences: A201939 A201940 A201941 * A201943 A201944 A201945

Keyword

nonn,cons

Author

Clark Kimberling, Dec 13 2011

Status

approved