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COMMENT
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a(n) = Determinant( A-A^2+ A^3- A^4+ A^5-... A^n)
where A is the submatrix A(1..7,1..7)= of the matrix with factorial determinant
A= [[1,1,1,1,1,1,...],[1,2,1,2,1,2,...],[1,2,3,1,2,3,...],[1,2,3,4,1,2,...],
[1,2,3,4,5,1,...],[1,2,3,4,5,6,...],...] note: Determinant A(1..n,1..n)= (n-1)!
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