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A277540
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n-th derivative of the ninth tetration of x (power tower of order 9) x^^9 at x=1.
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3
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1, 1, 2, 9, 56, 480, 5094, 65534, 984808, 16992144, 327038880, 6951172272, 160900135032, 4030551570864, 108477114581640, 3122444423175240, 95686679702270784, 3110711057099693568, 106921473349790826432, 3874480434910990168128, 147622208056015906586880
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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)^^9.
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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(9), 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[9], {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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