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A086900 Number of real n X n symmetric (0,1) matrices with positive determinant. +0
6
1, 1, 5, 338, 14186, 526876, 52658844 (list; graph; listen)
OFFSET

1,3

LINKS

Index entries for sequences related to binary matrices

EXAMPLE

For n = 2 the only example is the identity matrix.

MATHEMATICA

triamat[li_List] := Block[{len=Sqrt[8Length[li]+1]/2-1/2}, If[IntegerQ[len], Part[li, # ]& /@ Table[If[j>i, j(j-1)/2+i, i(i-1)/2+j], {i, len}, {j, len}], li]]; Table[it=triamat/@ IntegerDigits[Range[0, -1+2^(n(n+1)/2)], 2, n(n+1)/2]; Count[it, (q_)?MatrixQ/; (Det[q]>0)], {n, 5}]

CROSSREFS

Cf. A086899, A118996.

Sequence in context: A053516 A085523 A029495 this_sequence A124477 A059839 A006108

Adjacent sequences: A086897 A086898 A086899 this_sequence A086901 A086902 A086903

KEYWORD

nonn,more

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be) Aug 23, 2003.

EXTENSIONS

a(6) and a(7) from Giovanni Resta (g.resta(AT)iit.cnr.it), May 08 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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