

A301532


Maximum determinant of an n X n matrix with entries 1, 1/2, .., 1/n^2; numerator.


3




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



