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A119003 Maximal determinant of real n X n symmetric (+1,-1) matrices. 4

%I #11 Nov 19 2017 14:31:51

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

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

%C Computation of the determinant of these two matrices:

%C {-1, -1, -1, -1, 1, 1, 1, -1},

%C {-1, 1, -1, 1, 1, 1, -1, 1},

%C {-1, -1, 1, 1, 1, -1, -1, -1},

%C {-1, 1, 1, 1, -1, 1, 1, -1},

%C { 1, 1, 1, -1, 1, 1, -1, -1},

%C { 1, 1, -1, 1, 1, -1, 1, -1},

%C { 1, -1, -1, 1, -1, 1, -1, -1},

%C {-1, 1, -1, -1, -1, -1, -1, -1}

%C and

%C {-1, 1, 1, -1, 1, -1, 1, 1, 1},

%C { 1, -1, 1, -1, 1, 1, 1, 1, -1},

%C { 1, 1, 1, 1, 1, -1, -1, 1, -1},

%C {-1, -1, 1, 1, -1, 1, 1, -1, 1},

%C { 1, 1, 1, -1, -1, -1, 1, -1, -1},

%C {-1, 1, -1, 1, -1, 1, 1, 1, -1},

%C { 1, 1, -1, 1, 1, 1, 1, -1, 1},

%C { 1, 1, 1, -1, -1, 1, -1, 1, 1},

%C { 1, -1, -1, 1, -1, -1, 1, 1, 1}

%C shows that a(8) = A003433(8) = 4096 and a(9) = A003433(9) = 14336. - _Jean-Fran├žois Alcover_, Nov 19 2017

%H <a href="/index/De#determinants">Index entries for sequences related to maximal determinants</a>

%Y Cf. A003433, A119002, A119001, A119005.

%K nonn,more

%O 1,3

%A _Giovanni Resta_, May 08 2006

%E a(8) and a(9) from _Jean-Fran├žois Alcover_, Nov 19 2017

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Last modified March 1 05:26 EST 2024. Contains 370430 sequences. (Running on oeis4.)