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A012962
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Expansion of e.g.f. arcsin(arctan(x) + log(x+1)).
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0
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0, 2, -1, 8, -30, 366, -2655, 41652, -514668, 9980586, -173007765, 4004890848, -89829444474, 2436388004358, -66690826525323, 2084372053480332, -67131989795427480, 2384198449214048082, -88073922412026784233
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..18.
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EXAMPLE
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2*x - 1/2!*x^2 + 8/3!*x^3 - 30/4!*x^4 + 366/5!*x^5 ...
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MATHEMATICA
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With[{nn=20}, Rest[CoefficientList[Series[ArcSin[ArcTan[x]+Log[x+1]], {x, 0, nn}], x] Range[0, nn]!]] (* Harvey P. Dale, Apr 23 2015 *)
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CROSSREFS
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Sequence in context: A013123 A012965 A013119 * A214731 A079899 A333469
Adjacent sequences: A012959 A012960 A012961 * A012963 A012964 A012965
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KEYWORD
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sign
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AUTHOR
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Patrick Demichel (patrick.demichel(AT)hp.com)
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EXTENSIONS
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a(0)=0 inserted and title improved by Sean A. Irvine, Jul 29 2018
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STATUS
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approved
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