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A354416
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Expansion of e.g.f. (1 - log(1-x))^x.
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1
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1, 0, 2, 0, 16, 5, 288, 392, 9840, 33462, 582910, 3652044, 55557192, 524095728, 7910319116, 98390834310, 1573086910848, 23774700449584, 414180226506456, 7249907657342184, 138771378745878680, 2735366111451910944, 57469663931297252976, 1253755421949789141624
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OFFSET
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0,3
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LINKS
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FORMULA
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a(0) = 1; a(n) = Sum_{k=1..n} k * A089064(k-1) * binomial(n-1,k-1) * a(n-k).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((1-log(1-x))^x))
(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, (-1)^j*j*sum(k=1, j-1, (k-1)!*stirling(j-1, k, 1))*binomial(i-1, j-1)*v[i-j+1])); v;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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