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A328851
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Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(k + 1).
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3
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1, 3, 4, 11, 6, 19, 8, 34, 20, 29, 12, 78, 14, 39, 40, 104, 18, 107, 20, 120, 54, 59, 24, 277, 47, 69, 88, 162, 30, 237, 32, 299, 82, 89, 84, 478, 38, 99, 96, 429, 42, 321, 44, 246, 230, 119, 48, 921, 86, 258, 124, 288, 54, 535, 128, 581, 138, 149, 60, 1091
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OFFSET
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1,2
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COMMENTS
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Number of ways to factor n into 3 kinds of 2, 4 kinds of 3, ..., k+1 kinds of k.
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LINKS
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FORMULA
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PROG
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(PARI) seq(n)={my(v=vector(n, k, k==1)); for(k=2, n, my(m=logint(n, k), p=1/(1 - x + O(x*x^m))^(1+k), w=vector(n)); for(i=0, m, w[k^i]=polcoef(p, i)); v=dirmul(v, w)); v} \\ Andrew Howroyd, Oct 28 2019
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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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