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A077607
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Convolutory inverse of the factorial sequence.
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1
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1, -2, -2, -8, -44, -296, -2312, -20384, -199376, -2138336, -24936416, -314142848, -4252773824, -61594847360, -950757812864, -15586971531776, -270569513970944, -4959071121374720
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(n)=number of permutations on [n] for which no proper initial interval of [n] is mapped to an interval. - David Callan (callan(AT)stat.wisc.edu), Nov 11 2003
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FORMULA
| a(n) = -n!*a(1)-(n-1)!*a(2)-...-2!*a(n-1), with a(n)=1.
G.f.: 1/Sum_{k>=0} (k+1)!*x^k. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 04 2003
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EXAMPLE
| a(4)= -8 = -24*1-6*(-2)-2*(-2). (a(1),a(2),...,a(n))(*)(1,2,3!,...,n!)=(1,0,0,...,0), where (*) denotes convolution.
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CROSSREFS
| Cf. A000142.
Cf. A003319.
Sequence in context: A060224 A111605 A009544 * A032030 A184347 A006673
Adjacent sequences: A077604 A077605 A077606 * A077608 A077609 A077610
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KEYWORD
| sign
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Nov 11 2002
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