Abstract
We present a variety of not-well-known asymptotic series for factorials, binomial coefficients and Catalan numbers, all having only even or odd powers. We discuss the significance of this property in terms of the asymptotic evenness or oddness of the underlying quantities.
| Original language | English |
|---|---|
| Article number | 21.8.3 |
| Journal | Journal of Integer Sequences |
| Volume | 24 |
| Issue number | 8 |
| State | Published - 2021 |
Keywords
- Asymptotic expansion
- Binomial coefficient
- Catalan number
- Factorial
- Stirling’s formula
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics