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A033917
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Coefficients of iterated exponential function defined by y(x)=x^y(x) for e^-e < x < e^(1/e), expanded about x=1.
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1
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1, 1, 2, 9, 56, 480, 5094, 65534, 984808, 16992144, 330667680, 7170714672, 171438170232, 4480972742064, 127115833240200, 3889913061111240, 127729720697035584, 4479821940873927168, 167143865005981109952
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| Knoebel, R. Arthur. Exponentials Reiterated, Amer. Math. Monthly 88 (1981), pp. 235-252.
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FORMULA
| E.g.f.: -LambertW(-ln(1+x))/ln(1+x). a(n) = Sum_{k=0..n} Stirling1(n, k)*(k+1)^(k-1). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 12 2003
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MATHEMATICA
| Table[ i! SeriesCoefficient[ InverseSeries[ Series[ y^(1/y), {y, 1, n} ] ], i ], {i, 0, n} ]
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CROSSREFS
| Sequence in context: A052840 A036243 A179505 * A004103 A175896 A175900
Adjacent sequences: A033914 A033915 A033916 * A033918 A033919 A033920
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KEYWORD
| nonn
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AUTHOR
| Patrick Mclean (p_mclean(AT)hilbert.maths.utas.edu.au)
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