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A283803
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Expansion of exp( Sum_{n>=1} -A283369(n)/n*x^n ) in powers of x.
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3
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1, -1, -256, -531185, -4294403215, -95363000657073, -4738284730302658391, -459981771468075494207385, -79227701254823507875355278590, -22528320196093613328344381426130010, -9999977451048811940735941180766259658078
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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^(4*k)).
a(n) = -(1/n)*Sum_{k=1..n} A283369(k)*a(n-k) for n > 0.
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MATHEMATICA
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CoefficientList[Series[Product[(1 - x^k)^(k^(4k)), {k, 1, 10}], {x, 0, 10}], x] (* Indranil Ghosh, Mar 17 2017 *)
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PROG
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(PARI) A(n) = sumdiv(n, d, d^(4*d + 1));
a(n) = if(n<1, 1, -(1/n) * sum(k=1, n, A(k) * a(n - k)));
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CROSSREFS
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Cf. A283510 (Product_{k>=1} 1/(1 - x^k)^(k^(4*k))).
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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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