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A119003
Maximal determinant of real n X n symmetric (+1,-1) matrices.
4
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
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Giovanni Resta, May 08 2006
EXTENSIONS
a(8) and a(9) from Jean-François Alcover, Nov 19 2017
STATUS
approved