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Date: 12-10-2018
1612
Date: 20-6-2019
2833
Date: 24-9-2019
1505
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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.
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