A306883 Decimal expansion of the minimum value of the function f(x) = x^x^x^x.

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

Offset: 0

Author

Philipp O. Tsvetkov, Mar 15 2019

Keywords

• nonn
• cons

Comments

The minimum value of the function x^x^x^x which is obtained for x equal to A306579.

Examples

			0.5932372977697284645520601979470817...
		

Crossrefs

Cf. A306579.

Programs

Mathematica

n = 500;
(FindMinimum[x^x^x^x, {x, 0.34}, WorkingPrecision -> 3 n][[1]] // RealDigits)[[1]][[;; n]]

PARI

my(y = solve(x=0.1, 1, 1 + x^x*log(x)*(1 + x*log(x)*(1 + log(x))))); y^y^y^y \\ Michel Marcus, Mar 27 2019