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A215705
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n-th derivative of x^((x^x)^x) at x=1.
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3
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1, 1, 2, 15, 80, 590, 5034, 47110, 511216, 6019416, 77899320, 1092871824, 16459538952, 265695302808, 4560878625744, 83020743848760, 1595943389477760, 32291354360340672, 685838983512807360, 15248888357184824256, 354130117874225585280, 8571971677758345319680
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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^2)) at x=1.
First term < 0: a(272).
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LINKS
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FORMULA
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E.g.f.: (x+1)^((x+1)^((x+1)^2)).
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MAPLE
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a:= n-> n!*coeff(series(subs(x=x+1, x^((x^x)^x) ), x, n+1), x, n):
seq(a(n), n=0..25);
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[(x+1)^((x+1)^((x+1)^2)), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 30 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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STATUS
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approved
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