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A157503
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det(I - M) where M_jk = (j*x)^k/k!.
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2
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1, -1, -4, -21, -160, -1505, -17136, -226093, -3334528, -53031105, -864640000, -12957006821, -107329453056, 4548002439071, 409321789829120, 23780752998703875, 1257249577352658944, 65336038911885770623
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OFFSET
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0,3
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COMMENTS
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The n X n matrix M is a Vandermonde matrix of (x, 2x, 3x, ..., j*x, ..., n*x) scaled by factorials. The first n coefficients of x in det(I - M) are always the same.
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LINKS
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FORMULA
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E.g.f.: det(I - M) where M_jk = (j*x)^k/k!.
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MATHEMATICA
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A[n_] := D[Det[Table[KroneckerDelta[j, k] - (j*x)^k/k!, {j, 1, n}, {k, 1, n}]], {x, n}]/.x->0
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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