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A215524
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n-th derivative of (x^x)^x at x=1.
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16
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1, 1, 4, 12, 52, 240, 1188, 6804, 38960, 253296, 1654560, 11816640, 85816608, 668005728, 5240582592, 44667645120, 365989405440, 3494595006720, 28075694694912, 325862541872640, 2101211758356480, 39605981661066240, 48568198208302080, 7549838510211486720, -66667098077331572736
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OFFSET
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0,3
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..400
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FORMULA
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E.g.f.: ((x+1)^(x+1))^(x+1).
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MAPLE
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a:= n-> n!*coeff(series(subs(x=x+1, (x^x)^x ), x, n+1), x, n):
seq(a(n), n=0..30);
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MATHEMATICA
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m = 24; CoefficientList[((x+1)^(x+1))^(x+1) + O[x]^(m+1), x]*Range[0, m]! (* Jean-François Alcover, Feb 07 2021 *)
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CROSSREFS
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Column k=3 of A215703.
Cf. A005727, A179230, A179405, A215522.
Sequence in context: A282587 A188230 A124006 * A034716 A129841 A277431
Adjacent sequences: A215521 A215522 A215523 * A215525 A215526 A215527
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KEYWORD
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sign
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AUTHOR
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Alois P. Heinz, Aug 14 2012
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STATUS
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approved
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