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

%I #6 Mar 23 2018 20:52:40

%S 1,12,15120,389188800,64117105007155200,10347762119105166852096000,

%T 1389578338099539041754702978576000000,

%U 4713072346356421489071058466945878500353772748800000000

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

%C 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).

%e See A301532.

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

%K nonn,frac,more

%O 1,2

%A _Hugo Pfoertner_, Mar 23 2018