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

0,3

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

Formula

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

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 *)

Crossrefs

Cf. A075729, A075756.

Cf. A084357.

Sequence in context: A278990 A127132 A141764 * A277610 A261899 A109186

Adjacent sequences: A075741 A075742 A075743 * A075745 A075746 A075747

Keyword

nonn

Author

N. J. A. Sloane, Oct 15 2002

Status

approved