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A283499
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Expansion of exp( Sum_{n>=1} -A283498(n)/n*x^n ) in powers of x.
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6
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1, -1, -4, -23, -223, -2767, -42268, -759008, -15672223, -365639304, -9512549191, -273072804420, -8575012101043, -292422232720311, -10762617713743350, -425245537127322111, -17953822507629389009, -806668679245000383731
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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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G.f.: Product_{k>=1} (1 - x^k)^(k^k).
a(n) = -(1/n)*Sum_{k=1..n} A283498(k)*a(n-k) for n > 0.
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MATHEMATICA
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A[n_] := Sum[d^(d+ 1), {d, Divisors[n]}]; a[n_] := If[n==0, 1, -(1/n)*Sum[A[k]*a[n - k], {k, n}]]; Table[a[n], {n, 0, 17}] (* Indranil Ghosh, Mar 11 2017 *)
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PROG
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(PARI) a(n) = if(n==0, 1, -(1/n)*sum(k=1, n, sumdiv(k, d, d^(d + 1))*a(n - k)));
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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