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A143634
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E.g.f. satisfies: A(x) = exp(x*A(((x+1)^3-1)/3)).
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2
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1, 1, 3, 22, 253, 4256, 96727, 2828274, 102988937, 4553158024, 239618067211, 14775790894734, 1053758625896077, 85965003368491300, 7947211237328151167, 825821792546485330306, 95772123012223308982673
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OFFSET
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0,3
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LINKS
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MAPLE
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A:= proc(n, k::nonnegint) option remember; if n<=0 or k=0 then 1 else A(n-1, k)(((x+1)^k-1)/k) fi; unapply(convert(series(exp(x*%), x, n+1), polynom), x) end: a:= n-> coeff(A(n, 3)(x), x, n)*n!: seq(a(n), n=0..21);
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MATHEMATICA
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A[n_, k_] := Module[{f}, f[x_] = If[n <= 0 || k == 0, 1, A[n-1, k][((x+1)^k-1)/k]]; Normal[Series[Exp[x*f[x]], { x, 0, n+1}]] /. x -> #]&; a[n_] := Coefficient[A[n, 3][x], x, n]*n!; Table[a[n], {n, 0, 21}] (* Jean-François Alcover, Feb 14 2014, after Maple *)
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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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