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A236357
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E.g.f. satisfies: sin(x + A(x)) = A(x)^2.
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1
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-1, 2, -12, 120, -1680, 30360, -672000, 17599680, -532224000, 18248902560, -699544581120, 29645099003520, -1376154991411200, 69445751181206400, -3785191236642816000, 221613328121888102400, -13870531255760776396800, 924194452386724174656000
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OFFSET
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1,2
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COMMENTS
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For n < 10 is |a(n)| = A215188(n), but a(10) is different.
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LINKS
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FORMULA
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E.g.f.: Series_Reversion(arcsin(x^2)-x).
a(n) ~ (-1)^n * (4/sqrt(5)-8/5)^(1/4) * n^(n-1) / (exp(n) * (sqrt(sqrt(5)-2) - arcsin(sqrt(5)-2))^(n-1/2))
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MATHEMATICA
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Rest[CoefficientList[InverseSeries[Series[ArcSin[x^2]-x, {x, 0, 20}], x], x] * Range[0, 20]!]
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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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