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Enumeration of S-Motzkin paths from left to right and from right to left: a kernel method approach

Helmut Prodinger
Helmut Prodinger
   | Dec 24, 2020
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Published Online: Dec 24, 2020
Page range: 28 - 38
Received: Oct 23, 2019
Accepted: Sep 30, 2020
DOI: https://doi.org/10.1515/puma-2015-0039
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© 2020 Helmut Prodinger, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The area of S-Motzkin paths (bijective to ternary trees) is calculated using the kernel method by enumerating these (partial) paths with fixed end-point resp. starting point.

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