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 A064898 Stirling transform of derangements numbers. 1
 1, 0, 1, 5, 28, 199, 1721, 17394, 200803, 2607301, 37614922, 596933193, 10334308029, 193820343248, 3914731286181, 84716451763961, 1955520075368116, 47960724925499219, 1245468599978831333, 34139796082603477690, 985066290112167474255, 29844155285575945561913 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..200 FORMULA a(n) = sum(stirling2(n,k)*A000166(k), k=0..n). E.g.f.: exp(-(exp(x)-1))/(2-exp(x)). 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 *) CROSSREFS Cf. A000166. Sequence in context: A189487 A024065 A003467 * A216586 A151500 A107875 Adjacent sequences:  A064895 A064896 A064897 * A064899 A064900 A064901 KEYWORD nice,nonn AUTHOR Karol A. Penson, Oct 12 2001 STATUS approved

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