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A111749 Number of (-1,0,1) periodic irreducible matrices (with Tij=-Tji for i<j) up to sign change, transposition and row and column permutations. +0
1
1, 3, 10, 39, 121, 405 (list; graph; listen)
OFFSET

1,2

COMMENT

The permutations of rows i anf j, followed by those of column i and j, preserve the property that (Tij=-Tji for i<j). The periods of the 405 6 X 6 matrices are: 11 times period 3, 94 times period 4, 71 times period 6 and 229 times period 12.

LINKS

Wouter Meeussen, Periodic Matrices

EXAMPLE

{{-1,-1,0,0,0,0},{1,1,-1,0,0,0},{0,1,-1,0,0,0},{0,0,0,-1,-1,0},{0,0,0,1,1,-1},{0,0,0,0,1,-1}} is one of the 6 by 6 matrices.

MATHEMATICA

see link.

CROSSREFS

Cf. A072148, A111485.

Sequence in context: A010842 A140710 A103296 this_sequence A007163 A050385 A123768

Adjacent sequences: A111746 A111747 A111748 this_sequence A111750 A111751 A111752

KEYWORD

hard,nonn

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be), Nov 19 2005

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


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