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A013249
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Expansion of e.g.f. arctan(log(x+1) - arctan(x)).
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0
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0, 0, -1, 4, -6, 0, -90, 600, 6440, -96320, 282240, -28800, 63518400, -658944000, -11371279920, 255692673600, -859133808000, 9642264652800, -1104139083715200, 14885344037491200, 258279234868512000
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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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-1/2!*x^2 + 4/3!*x^3 - 6/4!*x^4 - 90/6!*x^6 ...
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MATHEMATICA
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With[{nn=20}, Drop[CoefficientList[Series[ArcTan[Log[x+1]-ArcTan[x]], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, Jun 17 2013 *)
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CROSSREFS
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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)=a(1)=0 inserted and title improved by Sean A. Irvine, Aug 02 2018
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STATUS
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approved
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