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.
|Journal||Journal of Integer Sequences|
|State||Published - 2021|
Bibliographical notePublisher Copyright:
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- Asymptotic expansion
- Binomial coefficient
- Catalan number
- Stirling’s formula