The number of rooted trees of given depth (Q1953527)
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scientific article; zbMATH DE number 6171953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of rooted trees of given depth |
scientific article; zbMATH DE number 6171953 |
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The number of rooted trees of given depth (English)
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7 June 2013
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Summary: In this paper it is shown that the logarithm of the number of non-isomorphic rooted trees of depth \(k\geq 3\) is asymptotically \(\frac{\pi^2}{6}\cdot\frac{n}{\log\log\dots\log n}\), where \(\log\) is iterated \(k-2\) times in the denominator.
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depth
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counting
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