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A356578
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Expansion of e.g.f. ( Product_{k>0} 1/(1 - k * x^k) )^x.
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0
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1, 0, 2, 15, 92, 1050, 8514, 147000, 1546544, 29673000, 478186920, 9011752200, 178483287432, 4205087686800, 91775320005264, 2290742704668600, 63289842765692160, 1696665419122968000, 50287699532618564544, 1549916411848463721600
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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(1) = 0; a(n) = Sum_{k=2..n} k * A354848(k-1) * binomial(n-1,k-1) * a(n-k).
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, 1-k*x^k)^x))
(PARI) a354848(n) = (n-1)!*sumdiv(n, d, d^(n/d+1));
a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=2, i, j*a354848(j-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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