Geodesic
Partition statistics and \(q\)-Bell numbers \((q=-1)\)
Journal of integer sequences, Tome 7 (2004) no. 1
We study three partition statistics and the $q$-Stirling and $q$-Bell numbers that serve as their generating functions, evaluating these numbers when $q=-1$. Among the numbers that arise in this way are (1) Fibonacci numbers and (2) numbers occurring in the study of fermionic oscillators.
Classification : 11B73, 11B39
Keywords: partition statistics, q-Stirling numbers, q-Bell numbers, Fibonacci numbers 
@article{JIS_2004__7_1_a4,
     author = {Wagner,  Carl G.},
     title = {Partition statistics and {\(q\)-Bell} numbers \((q=-1)\)},
     journal = {Journal of integer sequences},
     year = {2004},
     volume = {7},
     number = {1},
     zbl = {1064.05023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a4/}
}
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Wagner,  Carl G. Partition statistics and \(q\)-Bell numbers \((q=-1)\). Journal of integer sequences, Tome 7 (2004) no. 1. http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a4/