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Enumeration of up-down permutations by upper records. (English) Zbl 0315.05004


MSC:

05A15 Exact enumeration problems, generating functions
05B15 Orthogonal arrays, Latin squares, Room squares
05A10 Factorials, binomial coefficients, combinatorial functions
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References:

[1] Carlitz, L., andR. Scoville: Generalized Eulerian numbers; combinatorial applications. J. reine angew. Math.265, 110-137 (1974). · Zbl 0276.05006
[2] Netto, E.: Lehrbuch der Combinatorik. Leipzig und Berlin: Teubner. 1927. · JFM 53.0073.09
[3] Nörlund, N. E.: Vorlesungen über Differenzenrechnung. Berlin: Springer. 1924. · JFM 50.0315.02
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