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A184947 E.g.f. exp(x)*(1-x)^(-x). 1
1, 1, 3, 10, 45, 241, 1525, 11096, 91441, 842185, 8577871, 95768454, 1163339221, 15278140593, 215739927481, 3259925357716, 52489756856993, 897249441166993, 16228613753092315, 309660835748163394, 6216734677256575581, 130994769191324727697 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

Vladimir Kruchinin, D. V. Kruchinin, Composita and their properties , arXiv:1103.2582

FORMULA

E.g.f.: exp(x)*(1-x)^(-x).

a(n) = sum(k=0..n, C(n,k) *sum(j=0..k, C(k,j) *abs(stirling1(n-k,j)) *j!)).

a(n) ~ n! * exp(1). - Vaclav Kotesovec, Aug 13 2013

MAPLE

with(combinat):

a:= n-> add(binomial(n, k) *add(binomial(k, j)

             *abs(stirling1(n-k, j)) *j!, j=0..k), k=0..n):

seq(a(n), n=0..20);  # Alois P. Heinz, Feb 03 2011

MATHEMATICA

With[{nn=25}, CoefficientList[Series[Exp[x](1-x)^-x, {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Oct 26 2011 *)

CROSSREFS

Sequence in context: A134018 A028417 A060311 * A330250 A207652 A099237

Adjacent sequences:  A184944 A184945 A184946 * A184948 A184949 A184950

KEYWORD

nonn

AUTHOR

Vladimir Kruchinin, Feb 02 2011

STATUS

approved

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Last modified June 20 12:49 EDT 2021. Contains 345164 sequences. (Running on oeis4.)