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A064898
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Stirling transform of derangements numbers.
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0
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1, 0, 1, 5, 28, 199, 1721, 17394, 200803, 2607301, 37614922, 596933193, 10334308029, 193820343248, 3914731286181, 84716451763961, 1955520075368116, 47960724925499219, 1245468599978831333
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| In Maple notation, a(n)=sum(stirling2(n, k)*A000166(k), k=0..n), n=0, 1... . E.g.f.: exp(-(exp(x)-1))/(2-exp(x)).
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MATHEMATICA
| A000166[n_] := Round[ n!/Exp[1] ]; A000166[0] = 1; A000166[1] = 0; a[n_] := Sum[ StirlingS2[n, k]*A000166[k], {k, 0, n}]; Table[ a[n], {n, 0, 18}] (* From Jean-François Alcover, Dec 21 2011, after given formula *)
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CROSSREFS
| Cf. A000166.
Sequence in context: A189487 A024065 A003467 * A151500 A107875 A038172
Adjacent sequences: A064895 A064896 A064897 * A064899 A064900 A064901
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KEYWORD
| nice,nonn
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AUTHOR
| Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 12 2001
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