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A277539
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n-th derivative of the eighth tetration of x (power tower of order 8) x^^8 at x=1.
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3
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1, 1, 2, 9, 56, 480, 5094, 65534, 984808, 16629264, 312523680, 6425601072, 143775827832, 3471659156784, 90060216241800, 2496918043296840, 73703868906725184, 2307477802376274048, 76376765284713220032, 2664806795257276548288, 97747916619062963335680
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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)^^8.
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MAPLE
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f:= proc(n) f(n):= `if`(n=0, 1, (x+1)^f(n-1)) end:
a:= n-> n!*coeff(series(f(8), x, n+1), x, n):
seq(a(n), n=0..25);
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MATHEMATICA
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f[n_] := f[n] = If[n == 0, 1, (x + 1)^f[n - 1]];
a[n_] := n!*SeriesCoefficient[f[8], {x, 0, n}];
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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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