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A294948
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Expansion of Product_{n>=1} (1 - n^n*x^n)^(1/n).
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2
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1, -1, -2, -7, -57, -541, -7126, -108072, -1966034, -40620681, -952305757, -24824933859, -714742428220, -22491627743504, -768696164146118, -28344822040761041, -1121925480573229737, -47442205907345238412, -2134679753840086267669
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OFFSET
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0,3
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COMMENTS
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This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1/n, g(n) = n^n.
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LINKS
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FORMULA
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G.f.: exp(-Sum_{k>0} A023887(k)*x^k/k).
a(0) = 1 and a(n) = -(1/n) * Sum_{k=1..n} A023887(k)*a(n-k) for n > 0.
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1-k^k*x^k)^(1/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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