A201129 Decimal expansion of root of x^log(x) = log(x)^x.

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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Example

5.4444727541545141416855065051707898147240...

Maple

Digits:=105: fsolve(x^log(x)-(log(x)^x) =0, x, 0..10);

Mathematica

First@RealDigits[x/.FindRoot[x^Log[x]==Log[x]^x, {x, 5}, WorkingPrecision->100]] (* Sidney Cadot, Feb 26 2023 *)

Prog

(PARI) solve(x=5, 6, x^log(x)-log(x)^x) \\ Charles R Greathouse IV, Aug 26 2017

Crossrefs

Sequence in context: A137240 A243380 A244999 * A261509 A226578 A134206

Adjacent sequences: A201126 A201127 A201128 * A201130 A201131 A201132

Keyword

nonn,cons

Author

Michel Lagneau, Dec 01 2011

Status

approved