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A013200
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Expansion of e.g.f. log(sec(x)+arctanh(x)).
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1
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0, 1, 0, 1, 0, 13, -48, 677, -4480, 54937, -471680, 6248713, -65916928, 988579109, -12514310144, 212756765101, -3159842455552, 60179200959793, -1026648500830208, 21632158018229009, -416691460525064192
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OFFSET
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0,6
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LINKS
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EXAMPLE
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E.g.f. = x+1/3!*x^3+13/5!*x^5-48/6!*x^6+677/7!*x^7...
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MAPLE
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S:= series(ln(sec(x)+arctanh(x)), x, 51):
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Log[Sec[x]+ArcTanh[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jan 21 2014 *)
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PROG
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(PARI) my(x='x+O('x^30)); concat(0, Vec(serlaplace(log(1/cos(x)+atanh(x))))) \\ Michel Marcus, Mar 08 2023
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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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STATUS
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approved
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