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Search: id:A157503
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| A157503 |
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det(I - M) where M_jk = (j*x)^k/k! |
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+0
2
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| 1, -1, -4, -21, -160, -1505, -17136, -226093, -3334528, -53031105, -864640000, -12957006821, -107329453056, 4548002439071, 409321789829120, 23780752998703875, 1257249577352658944, 65336038911885770623
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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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
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Egf: 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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Sequence in context: A006153 A025164 A060072 this_sequence A144010 A107872 A008858
Adjacent sequences: A157500 A157501 A157502 this_sequence A157504 A157505 A157506
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KEYWORD
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easy,sign
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AUTHOR
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Andrew Robbins (and_j_rob(AT)yahoo.com), Mar 02 2009
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