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A012966
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Expansion of e.g.f. arcsinh(arctan(x) + log(x+1)).
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0
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0, 2, -1, -8, 18, 306, -1905, -26532, 353388, 4334778, -110509245, -1021609008, 50779213254, 272982059658, -32111535861405, -11592260316252, 26485822571365080, -161024492765786958, -27356021208171990873
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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 + 18/4!*x^4 + 306/5!*x^5 ...
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MATHEMATICA
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With[{nn=20}, Rest[CoefficientList[Series[ArcSinh[ArcTan[x]+Log[x+1]], {x, 0, nn}], x]Range[0, nn]!]] (* Harvey P. Dale, Jan 13 2012 *)
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CROSSREFS
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Sequence in context: A013118 A012961 A013124 * A168244 A009828 A084222
Adjacent sequences: A012963 A012964 A012965 * A012967 A012968 A012969
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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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