For what value of is a maximum? The maximum occurs at , where
|
(1) |
which is zero at and gives a maximum of
|
(2) |
(OEIS A073229).
The function has inflection points at (OEIS A093157) and (OEIS A103476), which are the roots of
|
(3) |
See also
e, Fermat's Problem, MRB Constant, Power Tower
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References
Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, 1965.Sloane, N. J. A. Sequences A073229, A093157, and A103476 in "The On-Line Encyclopedia of Integer Sequences."Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, p. 35, 1986.
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Cite this as:
Weisstein, Eric W. "Steiner's Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SteinersProblem.html