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A012410
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Expansion of e.g.f. arcsin(arctan(x) * exp(x)).
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1
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0, 1, 2, 2, 8, 88, 560, 3880, 48064, 645376, 8447488, 129332480, 2305269760, 43823270528, 893173681920, 19883237893376, 476731844235264, 12171513901662208, 330755844515020800, 9543303550734733312, 291053885585803034624, 9354941906907855192064
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OFFSET
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0,3
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LINKS
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MAPLE
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x + 2/2!*x^2 + 2/3!*x^3 + 8/4!*x^4 + 88/5!*x^5 ...
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MATHEMATICA
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Range[0, 20]! CoefficientList[Series[ArcSin[ArcTan[x] Exp[x]], {x, 0, 20}], x] (* Vincenzo Librandi, Jul 19 2018 *)
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PROG
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(PARI) x = 'x + O('x^30); concat([0], Vec(serlaplace(asin(atan(x) * exp(x))))) \\ Michel Marcus, Jul 19 2018
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CROSSREFS
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KEYWORD
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nonn
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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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