A301532 Maximum determinant of an n X n matrix with entries 1, 1/2, .., 1/n^2; numerator.

1, 5, 2027, 12976897, 450724396028209, 13238878814817907394909, 280849389948155488261365087763753, 132758211671968916518163154756197108235468015014261

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: A364638 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