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A157503
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det(I - M) where M_jk = (j*x)^k/k!
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1
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1, -1, -4, -21, -160, -1505, -17136, -226093, -3334528, -53031105, -864640000, -12957006821, -107329453056, 4548002439071, 409321789829120, 23780752998703875, 1257249577352658944, 65336038911885770623
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| The n*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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FORMULA
| Egf: det(I - M) where M_jk = (j*x)^k/k!
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MATHEMATICA
| 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
| Sequence in context: A025164 A166901 A060072 * A144010 A179496 A107872
Adjacent sequences: A157500 A157501 A157502 * A157504 A157505 A157506
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KEYWORD
| easy,sign
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AUTHOR
| Andrew Robbins (and_j_rob(AT)yahoo.com), Mar 02 2009
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