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A301532 Maximum determinant of an n X n matrix with entries 1, 1/2, .., 1/n^2; numerator. 3
1, 5, 2027, 12976897, 450724396028209, 13238878814817907394909, 280849389948155488261365087763753, 132758211671968916518163154756197108235468015014261 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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).

LINKS

Table of n, a(n) for n=1..8.

Hugo Pfoertner, Illustration of maximum determinant value A301532/A301533.

EXAMPLE

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.

CROSSREFS

Cf. A085000, A301371, A301533 (corresponding denominators)

Sequence in context: A003733 A201300 A024073 * A105035 A004816 A327763

Adjacent sequences:  A301529 A301530 A301531 * A301533 A301534 A301535

KEYWORD

nonn,frac,more

AUTHOR

Hugo Pfoertner, Mar 23 2018

STATUS

approved

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Last modified September 25 23:23 EDT 2020. Contains 337346 sequences. (Running on oeis4.)