Asymptotic stability of a repairable system with imperfect switching mechanism.
Xu, Houbao, Guo, Weihua, Yu, Jingyuan, Zhu, Guangtian (2005)
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Xu, Houbao, Guo, Weihua, Yu, Jingyuan, Zhu, Guangtian (2005)
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In this paper, we provide new combinatorial interpretations for the Pell numbers p n in terms of finite set partitions. In particular, we identify six classes of partitions of size n, each avoiding a set of three classical patterns of length four, all of which have cardinality given by p n. By restricting the statistic recording the number of inversions to one of these classes, and taking it jointly with the statistic recording the number of blocks, we obtain a new polynomial generalization...
Huang, Qiliang, Yang, Bicheng (2009)
Journal of Inequalities and Applications [electronic only]
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Dall'acqua, Anna, Solovej, Jan Philip (2010)
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