Iterated exponentials. (English) Zbl 0060.08415
Keywords:
number theoryOnline Encyclopedia of Integer Sequences:
Bell or exponential numbers: number of ways to partition a set of n labeled elements.Number of 6-level labeled rooted trees with n leaves.
Coefficients of iterated exponentials.
Number of 8-level labeled rooted trees with n leaves.
Number of 9-level labeled rooted trees with n leaves.
10-level labeled rooted trees with n leaves.
11-level labeled rooted trees with n leaves.
Array read by antidiagonals of higher order Bell numbers.
a(n) = coefficient of x^n in the n-th iteration (n-fold self-composition) of e.g.f. -log(1 - x).