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A363008
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Expansion of e.g.f. 1/(2 - exp(exp(exp(exp(x) - 1) - 1) - 1)).
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3
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1, 1, 6, 52, 594, 8444, 143783, 2854261, 64735570, 1651560175, 46814933977, 1459689346911, 49650414218071, 1829560770160335, 72603137881845927, 3086932915850946633, 139999909097319319787, 6746170002325663539844, 344199636595620793896784
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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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a(n) = T(n,4), T(n,k) = Sum_{j=0..n} Stirling2(n,j) * T(j,k-1), k>1, T(n,0) = n!.
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MAPLE
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b:= proc(n, m, t) option remember; `if`(n=0, `if`(t=1, m!,
b(m, 0, t-1)), m*b(n-1, m, t)+b(n-1, m+1, t))
end:
a:= n-> b(n, 0, 4):
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(2-exp(exp(exp(exp(x)-1)-1)-1))))
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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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