A301533 Maximum determinant of an n X n matrix with entries 1, 1/2, .., 1/n^2; denominator.

1, 12, 15120, 389188800, 64117105007155200, 10347762119105166852096000, 1389578338099539041754702978576000000, 4713072346356421489071058466945878500353772748800000000

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 A301532(n) / a(n).

Links

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

Example

See A301532.

Crossrefs

Cf. A085000, A301371, A301532 (corresponding numerators).

Sequence in context: A012608 A012735 A012674 * A013514 A340166 A125547

Adjacent sequences: A301530 A301531 A301532 * A301534 A301535 A301536

Keyword

nonn,frac,more

Author

Hugo Pfoertner, Mar 23 2018

Status

approved