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COMMENTS
| a(n) = Determinant(A-A^2+ A^3- A^4+ A^5-... A^n)
where A is the submatrix A(1..8,1..8)= 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)!.
a(n) is even with respect to signs of power of A.
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