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A119002 Maximal determinant of real n X n symmetric (0,1) matrices. 5

%I #21 Nov 20 2017 08:53:09

%S 1,1,1,2,3,5,9,18,56,144

%N Maximal determinant of real n X n symmetric (0,1) matrices.

%C The determinant of this 8 X 8 matrix is a(8) = 56:

%C {0, 1, 1, 1, 0, 1, 0, 0},

%C {1, 0, 1, 1, 0, 1, 0, 0},

%C {1, 1, 0, 1, 0, 0, 1, 1},

%C {1, 1, 1, 0, 1, 0, 0, 1},

%C {0, 0, 0, 1, 1, 1, 0, 1},

%C {1, 1, 0, 0, 1, 1, 1, 0},

%C {0, 0, 1, 0, 0, 1, 1, 1},

%C {0, 0, 1, 1, 1, 0, 1, 0}

%C and the determinant of this 9 X 9 matrix is a(9) = 144:

%C {1, 1, 0, 1, 1, 0, 0, 1, 1},

%C {1, 1, 1, 1, 0, 1, 0, 0, 0},

%C {0, 1, 1, 1, 0, 0, 1, 1, 1},

%C {1, 1, 1, 0, 1, 0, 1, 0, 1},

%C {1, 0, 0, 1, 0, 1, 1, 0, 1},

%C {0, 1, 0, 0, 1, 1, 1, 1, 0},

%C {0, 0, 1, 1, 1, 1, 0, 0, 1},

%C {1, 0, 1, 0, 0, 1, 0, 1, 1},

%C {1, 0, 1, 1, 1, 0, 1, 1, 0}. - _Jean-François Alcover_, Nov 18 2017

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

%F a(n) <= A003432(n).

%Y Cf. A003432, A119003, A119004, A118998.

%K nonn,more

%O 0,4

%A _Giovanni Resta_, May 08 2006

%E a(8) and a(9) from _Jean-François Alcover_, Nov 18 2017

%E a(0)=1 prepended by _Alois P. Heinz_, Nov 18 2017

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Last modified May 10 05:09 EDT 2024. Contains 372356 sequences. (Running on oeis4.)