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A330535
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Expansion of e.g.f. Product_{k>=1} 1 / (1 - arcsinh(x^k)).
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1
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1, 1, 4, 17, 112, 769, 7088, 66387, 763600, 9164721, 126474672, 1820139771, 29458146408, 494179557897, 9100332756552, 174762729699459, 3612983961103776, 77711328568772193, 1784695351000035744, 42494646959739633771
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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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E.g.f.: exp(Sum_{k>=1} Sum_{d|k} arcsinh(x^(k/d))^d / d).
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MATHEMATICA
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nmax = 19; CoefficientList[Series[Product[1/(1 - ArcSinh[x^k]), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
nmax = 19; CoefficientList[Series[Exp[Sum[Sum[ArcSinh[x^(k/d)]^d/d, {d, Divisors[k]}], {k, 1, nmax}]], {x, 0, nmax}], x] Range[0, nmax]!
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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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