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A301532
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Maximum determinant of an n X n matrix with entries 1, 1/2, .., 1/n^2; numerator.
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3
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OFFSET
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1,2
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COMMENTS
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The maximum determinant achievable by arranging the fractions 1/1, 1/2, 1/3, ..., 1/n^2 as matrix entries is provided as fraction a(n) / A301533(n).
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LINKS
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Table of n, a(n) for n=1..8.
Hugo Pfoertner, Illustration of maximum determinant value A301532/A301533.
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EXAMPLE
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a(3) = 2027, because no matrix with a greater determinant can be found than
(1/1 1/7 1/5)
(1/4 1/2 1/9)
(1/8 1/6 1/3),
which has the determinant 2027/15120. A301533(3) = 15120.
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CROSSREFS
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Cf. A085000, A301371, A301533 (corresponding denominators)
Sequence in context: A003733 A201300 A024073 * A105035 A004816 A327763
Adjacent sequences: A301529 A301530 A301531 * A301533 A301534 A301535
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KEYWORD
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nonn,frac,more
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AUTHOR
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Hugo Pfoertner, Mar 23 2018
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STATUS
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approved
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