References
Carlitz, L., andR. Scoville: Generalized Eulerian numbers; combinatorial applications. J. reine angew. Math.265, 110–137 (1974).
Netto, E.: Lehrbuch der Combinatorik. Leipzig und Berlin: Teubner. 1927.
Nörlund, N. E.: Vorlesungen über Differenzenrechnung. Berlin: Springer. 1924.
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Supported in part by NSF grant GP-17031.
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Carlitz, L., Scoville, R. Enumeration of up-down permutations by upper records. Monatshefte für Mathematik 79, 3–12 (1975). https://doi.org/10.1007/BF01533770
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DOI: https://doi.org/10.1007/BF01533770