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A306883 Decimal expansion of the minimum value of the function f(x) = x^x^x^x. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..108.

EXAMPLE

0.5932372977697284645520601979470817...

MATHEMATICA

n = 500;

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

PROG

(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

CROSSREFS

Cf. A306579.

Sequence in context: A344149 A255681 A021948 * A333155 A256500 A239545

Adjacent sequences:  A306880 A306881 A306882 * A306884 A306885 A306886

KEYWORD

nonn,cons

AUTHOR

Philipp O. Tsvetkov, Mar 15 2019

STATUS

approved

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Last modified June 24 02:56 EDT 2021. Contains 345415 sequences. (Running on oeis4.)