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A307599
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Expansion of Product_{k>=1} (1 - x^k/(1 - x)).
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6
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1, -1, -2, -2, -1, 2, 6, 11, 15, 16, 11, -2, -26, -61, -105, -152, -192, -209, -183, -89, 98, 400, 830, 1385, 2035, 2715, 3314, 3668, 3556, 2703, 790, -2521, -7550, -14542, -23591, -34546, -46901, -59670, -71261, -79358, -80830, -71690, -47133, -1684, 70504, 175168, 317232
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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.: exp( - Sum_{k>=1} x^k * Sum_{d|k} 1/(d*(1-x)^d)).
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MATHEMATICA
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m = 46; CoefficientList[Series[Product[1 - x^k/(1 - x), {k, 1, m}], {x, 0, m}], x] (* Amiram Eldar, May 14 2021 *)
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PROG
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(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, 1-x^k/(1-x)))
(PARI) N=66; x='x+O('x^N); Vec(exp(-sum(k=1, N, x^k*sumdiv(k, d, 1/(d*(1-x)^d)))))
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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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