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
Examples
0.5932372977697284645520601979470817...
Crossrefs
Cf. A306579.
Programs
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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
Comments