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A354115
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Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + arcsin(x).
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4
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1, -2, 1, -4, 29, -244, 1583, -10368, 124553, -2029776, 20127867, -180343296, 3978820221, -75977108544, 914656587063, -15574206480384, 370244721585681, -8082505243732224, 162968423791332339, -3082360882836013056, 82014901819948738629, -2501342802748968883200, 58311771938510122952559
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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 + arcsin(x^k)) / k.
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MATHEMATICA
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nmax = 23; CoefficientList[Series[Sum[MoebiusMu[k] Log[1 + ArcSin[x^k]]/k, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest
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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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