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A012513
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Expansion of e.g.f. arctan(sinh(x) * log(x+1)).
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1
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0, 0, 2, -3, 12, -40, -50, 1449, -23016, 261288, -2306342, 15798365, 33379940, -3972201168, 100308059878, -1917671123655, 28943854480688, -288514829730256, -1435208344849998, 189049167829499229
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OFFSET
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0,3
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LINKS
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EXAMPLE
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2/2!*x^2 - 3/3!*x^3 + 12/4!*x^4 - 40/5!*x^5 ...
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MAPLE
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seq(coeff(series(factorial(n)*arctan(sinh(x)*log(x+1)), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 19 2018
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[ArcTan[Sinh[x]Log[x+1]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 04 2021 *)
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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) and a(1) inserted and title improved by Sean A. Irvine, Jul 19 2018
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STATUS
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approved
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