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A064898 Stirling transform of derangements numbers. 2
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)).

a(n) ~ n!/(2*exp(1)*log(2)^(n+1)). - Vaclav Kotesovec, Jun 29 2013

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}] (* Jean-Fran├žois Alcover, Dec 21 2011, after given formula *)

CROSSREFS

Cf. A000166.

Sequence in context: A003467 A240770 A318364 * A216586 A151500 A332711

Adjacent sequences:  A064895 A064896 A064897 * A064899 A064900 A064901

KEYWORD

nice,nonn

AUTHOR

Karol A. Penson, Oct 12 2001

STATUS

approved

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Last modified June 23 05:11 EDT 2021. Contains 345395 sequences. (Running on oeis4.)