A075744 Hierarchies of hierarchies.

1, 1, 5, 36, 338, 3898, 53173, 835992, 14864340, 294606273, 6434871231, 153473830678, 3966604562709, 110386840008838, 3289768253831145, 104502173165838799, 3523895395660532937, 125689588963370029163, 4726867751402704638366, 186902021178952943036080

Offset: 0

Author

N. J. A. Sloane, Oct 15 2002

Keywords

• nonn

Comments

Stirling transform of A084357 = number of sets of sets of lists. - Thomas Wieder, Jun 19 2005

Links

• T. D. Noe, Table of n, a(n) for n=0..100

Crossrefs

Cf. A075729, A075756.

Cf. A084357.

Programs

Mathematica

m = 20;
f[x_] = Exp[1/(2 - Exp[x]) - 1];
CoefficientList[Exp[f[x] - 1] + O[x]^m, x]*Range[0, m - 1]! (* Jean-François Alcover, Feb 24 2019 *)

Formula

E.g.f.: exp(f(x)-1) where f(x) = e.g.f. for A075729.