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A074728 a(n) = Sum_{k=1..n} k^(n-k)*binomial(n,k-1). 1
1, 3, 10, 39, 176, 903, 5174, 32623, 223792, 1655463, 13110758, 110510007, 986490272, 9287036671, 91872460702, 952034494431, 10305790066208, 116254839687543, 1363631057783942, 16599343732844455, 209328335818064176, 2730323984395924623, 36780442970179975646 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
E.g.f.: (exp(x*exp(x))-exp(x))/x.
MATHEMATICA
Table[Sum[k^(n-k) Binomial[n, k-1], {k, n}], {n, 30}] (* Harvey P. Dale, Mar 19 2013 *)
CROSSREFS
Cf. A000248.
Sequence in context: A124532 A343795 A305560 * A087860 A307593 A351144
KEYWORD
nonn
AUTHOR
Vladeta Jovovic, Sep 05 2002
STATUS
approved

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Last modified May 25 15:42 EDT 2024. Contains 372800 sequences. (Running on oeis4.)