English

Asymptotics for a certain group of exponential generating functions

Combinatorics 2022-07-25 v2

Abstract

The exponential generating function for the sequence A143405 in the OEIS is exp(exp(x)*(exp(x) - 1)). This paper analyzes the more general generating function exp(m*exp(b*x) + r*exp(d*x) + s) and provides asymptotics for the sequences A143405, A355291, A002872, A002874 and others in the OEIS.

Cite

@article{arxiv.2207.10568,
  title  = {Asymptotics for a certain group of exponential generating functions},
  author = {Vaclav Kotesovec},
  journal= {arXiv preprint arXiv:2207.10568},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-25T01:07:20.281Z