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Some permutation problems. (English) Zbl 0351.05003


MSC:

05A05 Permutations, words, matrices
05B15 Orthogonal arrays, Latin squares, Room squares
05A15 Exact enumeration problems, generating functions
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
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References:

[1] Carlitz, L., Enumeration of permutations by rises and cycle structure, J. Reine Angew. Math., 263, 220-233 (1973) · Zbl 0268.05009
[2] Carlitz, L., Permutations with prescribed pattern, Math. Nachr., 58, 31-53 (1973) · Zbl 0229.05015
[3] Carlitz, L.; Scoville, R., Generalized Eulerian numbers: combinatorial applications, J. Reine Angew. Math., 265, 110-137 (1974) · Zbl 0276.05006
[4] Riordan, J., An Introduction to Combinatorial Analysis (1958), Wiley: Wiley New York · Zbl 0078.00805
[5] Roselle, D. P., Permutations by number of rises and successions, (Proc. Amer. Math. Soc., 19 (1968)), 8-16 · Zbl 0159.30101
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.