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Number of {-1,0,1} n X n matrices with all rows and columns summing to zero up to permutations of rows.
1

%I #4 Oct 15 2024 15:47:07

%S 1,1,2,6,117,9691,5328136,18490880339,437425741017623,

%T 72201603445260460729,85704032961379965273243136,

%U 746789021667791689307771100458717,48671404211097237572497575028382156068182,24090982261278741928086824237920135192809826750606,91765357087196227652413496510903409610512369965590600589002

%N Number of {-1,0,1} n X n matrices with all rows and columns summing to zero up to permutations of rows.

%C Columns are not permutable.

%C Equivalently, the number of n X n 0..2 arrays with row sums n and column sums n up to permutation of rows.

%Y Main diagonal of A377063.

%Y Cf. A172645.

%K nonn

%O 0,3

%A _Andrew Howroyd_, Oct 15 2024