Some permutation problems. (English) Zbl 0351.05003


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
Full Text: DOI


[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
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