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A new enumerative property of the Narayana numbers

✍ Scribed by G. Kreweras; P. Moszkowski


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
227 KB
Volume
14
Category
Article
ISSN
0378-3758

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On the spiral property of the q-derangem
✍ Xiang-De Zhang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 136 KB

We discover the spiral property of the q-derangement numbers arising from q-counting of derangements by the major index. The spiral property implies that the polynomial is unimodal and the maximum coefficient appears exactly in the middle, which confirms a conjecture of Chen and Rota. Let Dn(q) den