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A013422
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E.g.f.: arcsin(arcsin(x)-tanh(x)) (odd coefficients only).
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1
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0, 3, -7, 497, 10649, 955757, 167741741, 20817188849, 5637483533393, 1653225944489237, 560689820639903957, 269465649695982142009, 138258119776900090716601, 87774869737967098700912797, 65239835100565334768577561149, 54460490625029012562328972397057
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (2n+1) * [x^(2n+1)] arcsin(arcsin(x)-tanh(x)).
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EXAMPLE
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arcsin(arcsin(x)-tanh(x)) = 3/3!*x^3-7/5!*x^5+497/7!*x^7+10649/9!*x^9... .
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MAPLE
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egf:= arcsin(arcsin(x)-tanh(x)):
a:= n-> (2*n+1)!*coeff(series(egf, x, 2*n+3), x, (2*n+1)):
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MATHEMATICA
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With[{nn=30}, Take[CoefficientList[Series[ArcSin[ArcSin[x]-Tanh[x]], {x, 0, nn}], x]Range[0, nn-1]!, {2, -1, 2}]] (* Harvey P. Dale, Mar 06 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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STATUS
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approved
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