A308519 Expansion of e.g.f. exp(exp(1 - exp(x)) - 1).
1, -1, 1, 0, -2, 2, 9, -24, -80, 339, 1127, -6438, -22051, 179670, 705969, -6316587, -34059363, 234694313, 1788358694, -10539103220, -107105535812, 679821765685, 9404735956848, -39383677719404, -965379929608361, 375758547940149, 86199829280567638, 158307964563289211
Offset: 0
Keywords
Programs
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Mathematica
nmax = 27; CoefficientList[Series[Exp[Exp[1 - Exp[x]] - 1], {x, 0, nmax}], x] Range[0, nmax]! Table[Sum[(-1)^k StirlingS2[n, k] BellB[k], {k, 0, n}], {n, 0, 27}] a[n_] := a[n] = Sum[Binomial[n - 1, k - 1] BellB[k, -1] a[n - k], {k, 1, n}]; a[0] = 1; Table[a[n], {n, 0, 27}]
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