A093157 Decimal expansion of inflection point of x^(1/x).

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

Offset

0,1

Comments

The smaller of the two real roots of 1 - 3*x + log(x)*(log(x) + 2*x - 2) = 0. - Amiram Eldar, Jun 17 2021

Links

Table of n, a(n) for n=0..101.

Eric Weisstein's World of Mathematics, Steiner's Problem.

Example

0.581932705...

Mathematica

f[x_] := x^(1/x); RealDigits[ x /. FindRoot[ f''[x] == 0, {x, 1/2}, WorkingPrecision -> 102]] // First (* Jean-François Alcover, Feb 08 2013 *)

Crossrefs

Cf. A073229, A103476.

Sequence in context: A198139 A247277 A171709 * A122998 A227158 A098881

Adjacent sequences: A093154 A093155 A093156 * A093158 A093159 A093160

Keyword

nonn,cons

Author

Eric W. Weisstein, Mar 25 2004

Status

approved