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A064898
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Stirling transform of derangements numbers.
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2
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1, 0, 1, 5, 28, 199, 1721, 17394, 200803, 2607301, 37614922, 596933193, 10334308029, 193820343248, 3914731286181, 84716451763961, 1955520075368116, 47960724925499219, 1245468599978831333, 34139796082603477690, 985066290112167474255, 29844155285575945561913
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} Stirling2(n,k)*A000166(k).
E.g.f.: exp(-(exp(x)-1))/(2-exp(x)).
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MAPLE
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g:= proc(n) option remember;
`if`(n<2, 1-n, (n-1)*(g(n-1)+g(n-2)))
end:
b:= proc(n, m) option remember;
`if`(n=0, g(m), m*b(n-1, m)+b(n-1, m+1))
end:
a:= n-> b(n, 0):
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nice,nonn
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AUTHOR
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STATUS
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approved
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