A103476 Decimal expansion of second inflection point of x^(1/x).

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

Offset

1,1

Comments

The larger 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=1..102.

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

Example

4.36777096...

Mathematica

RealDigits[ x /. FindRoot[D[x^(1/x), {x, 2}] == 0, {x, 4}, WorkingPrecision -> 110], 10, 102] // First (* Jean-François Alcover, Feb 07 2013 *)

Crossrefs

Cf. A073229, A093157.

Sequence in context: A292616 A071901 A266576 * A021700 A309516 A211362

Adjacent sequences: A103473 A103474 A103475 * A103477 A103478 A103479

Keyword

nonn,cons

Author

Eric W. Weisstein, Feb 07 2005

Status

approved