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A096722
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Denominators of terms in series expansion of arcsin(arctan(x)) - arctan(arcsin(x)).
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6
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1, 1, 1, 30, 756, 75600, 199584, 54486432000, 2421619200, 151227648000, 5913303492096000, 5203707073044480000, 512936840057241600000, 5041143264082570444800000, 1238175538546596249600000, 11695452372671563431936000000, 33500453776280426294437478400000, 44295044437526341433756221440000000
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OFFSET
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0,4
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LINKS
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EXAMPLE
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arcsin(arctan(x)) - arctan(arcsin(x)) = -1/30*x^7 + 13/756*x^9 - 2329/75600*x^11 + 3749/199584*x^13 - 1405132357/54486432000*x^15 + ...
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MATHEMATICA
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Denominator[Take[CoefficientList[Series[ArcSin[ArcTan[x]] - ArcTan[ArcSin[x]], {x, 0, 40}], x], {2, -1, 2}]] (* G. C. Greubel, Nov 18 2016 *)
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CROSSREFS
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Cf. A096721, A096717, A096718, A096664, A096671, A096712, A096716, A045688, A045689, A096719, A096720.
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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