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Hankel determinants of sums of consecutive weighted Schröder numbers

✍ Scribed by Sen-Peng Eu; Tsai-Lien Wong; Pei-Lan Yen


Book ID
116714115
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
442 KB
Volume
437
Category
Article
ISSN
0024-3795

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Hankel determinants of sums of consecuti
✍ Naiomi T. Cameron; Andrew C.M. Yip 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 466 KB

We use combinatorial methods to evaluate Hankel determinants for the sequence of sums of consecutive t-Motzkin numbers. More specifically, we consider the following determinant: where t is a real number and m t k is the total weight of all paths from (0, 0) to (k, 0) that stay above the x-axis and