Steiner's Problem
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)
|
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.
