Characterization of -entropy with preference
R. K. Tuteja, L. C. Singhal, Ashok Kumar (1988)
Kybernetika
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R. K. Tuteja, L. C. Singhal, Ashok Kumar (1988)
Kybernetika
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Prem Nath, Ranjit Singh (1984)
Kybernetika
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T. D. Rakheja, K. K. Gulati (1988)
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Toufik Mansour, Mark Shattuck (2011)
Open Mathematics
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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...