A119003 Maximal determinant of real n X n symmetric (+1,-1) matrices.

1, 0, 4, 16, 48, 160, 576, 4096, 14336

Offset

1,3

Comments

Computation of the determinant of these two matrices:

{-1, -1, -1, -1, 1, 1, 1, -1},

{-1, 1, -1, 1, 1, 1, -1, 1},

{-1, -1, 1, 1, 1, -1, -1, -1},

{-1, 1, 1, 1, -1, 1, 1, -1},

{ 1, 1, 1, -1, 1, 1, -1, -1},

{ 1, 1, -1, 1, 1, -1, 1, -1},

{ 1, -1, -1, 1, -1, 1, -1, -1},

{-1, 1, -1, -1, -1, -1, -1, -1}

and

{-1, 1, 1, -1, 1, -1, 1, 1, 1},

{ 1, -1, 1, -1, 1, 1, 1, 1, -1},

{ 1, 1, 1, 1, 1, -1, -1, 1, -1},

{-1, -1, 1, 1, -1, 1, 1, -1, 1},

{ 1, 1, 1, -1, -1, -1, 1, -1, -1},

{-1, 1, -1, 1, -1, 1, 1, 1, -1},

{ 1, 1, -1, 1, 1, 1, 1, -1, 1},

{ 1, 1, 1, -1, -1, 1, -1, 1, 1},

{ 1, -1, -1, 1, -1, -1, 1, 1, 1}

shows that a(8) = A003433(8) = 4096 and a(9) = A003433(9) = 14336. - Jean-François Alcover, Nov 19 2017

Links

Table of n, a(n) for n=1..9.

Index entries for sequences related to maximal determinants

Crossrefs

Cf. A003433, A119002, A119001, A119005.

Sequence in context: A058922 A215723 A034918 * A220329 A222387 A366608

Adjacent sequences: A119000 A119001 A119002 * A119004 A119005 A119006

Keyword

nonn,more

Author

Giovanni Resta, May 08 2006

Extensions

a(8) and a(9) from Jean-François Alcover, Nov 19 2017

Status

approved