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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 (list; graph; refs; listen; history; text; internal format)
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 A222936

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

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Last modified January 18 20:57 EST 2019. Contains 319282 sequences. (Running on oeis4.)