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A215629
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n-th derivative of x^(x^((x^x)^x)) at x=1.
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3
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1, 1, 2, 9, 80, 660, 6714, 77084, 1005640, 14572944, 233086920, 4066783512, 76906345944, 1566049091568, 34153725715368, 793996577407560, 19595885746343808, 511550462381982528, 14080034085212120256, 407434430977558009344, 12363449947108075756800
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OFFSET
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0,3
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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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