A263357 Decimal expansion of the solution of x*(log(x)-1)/(log(x)+1) = 1.

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

Offset

1,1

Comments

Related to the shared tangents of y = exp(x) and y = log(x). For more details, see A263356.

Links

Stanislav Sykora, Table of n, a(n) for n = 1..2000

Formula

Equals exp(A263356).

Example

4.680498579882905602275950337837266791401032479590099720047090119413...
The inverse of this, used in A263356, is
0.213652452390022411936054015235995011478174365311570610900850075919...

Mathematica

RealDigits[x/.FindRoot[(x (Log[x]-1))/(Log[x]+1)==1, {x, 4}, WorkingPrecision-> 120], 10, 120][[1]] (* Harvey P. Dale, Apr 23 2022 *)

Prog

(PARI) solve(x=1, 10, x*(log(x)-1)/(log(x)+1)-1)

Crossrefs

Cf. A263356.

Sequence in context: A333742 A107648 A004786 * A195387 A326426 A272028

Adjacent sequences: A263354 A263355 A263356 * A263358 A263359 A263360

Keyword

nonn,cons

Author

Stanislav Sykora, Oct 16 2015

Status

approved