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A354055
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Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + sin(x).
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7
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1, -2, -1, 4, -19, 164, -659, 1408, -18775, 642224, -3578279, -21642752, -476298835, 11904106304, 25626362581, 68669145088, -20903398375855, 212840905389824, -6399968826052559, -78465506362130432, 1010700510694925525, 101465632831736751104, -1123931378903214542099
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OFFSET
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1,2
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LINKS
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FORMULA
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E.g.f.: Sum_{k>=1} mu(k) * log(1 + sin(x^k)) / k.
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MATHEMATICA
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nmax = 23; CoefficientList[Series[Sum[MoebiusMu[k] Log[1 + Sin[x^k]]/k, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest
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CROSSREFS
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Cf. A170914, A170915, A328186, A328191, A353607, A353873, A354056, A354063, A354064, A354065, A354066.
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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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