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A215643
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n-th derivative of x^((x^(x^x))^x) at x=1.
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4
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1, 1, 2, 15, 104, 890, 8814, 100660, 1288048, 18337680, 286674960, 4882660464, 89880715704, 1777384045944, 37552294300416, 843830334815640, 20086549955304384, 504750167170162944, 13348550475903813120, 370499740676381737728, 10766442934111876381440
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OFFSET
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0,3
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COMMENTS
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Also n-th derivative of x^((x^x)^(x^x)) = x^(x^(x^x*x)) at x=1.
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LINKS
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FORMULA
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E.g.f.: (x+1)^(((x+1)^((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))^x) ), x, n+1), x, n):
seq(a(n), n=0..30);
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MATHEMATICA
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m = 20;
CoefficientList[(x+1)^(((x+1)^((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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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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