On the Netto inversion number of a sequence
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- by Dominique Foata PDF
- Proc. Amer. Math. Soc. 19 (1968), 236-240 Request permission
References
- F. N. David and D. E. Barton, Combinatorial chance, Hafner Publishing Co., New York, 1962. MR 0155371
- Dominique Foata, Étude algébrique de certains problèmes d’analyse combinatoire et du calcul des probabilités, Publ. Inst. Statist. Univ. Paris 14 (1965), 81–241 (French). MR 220327 P. A. MacMahon, Combinatory analysis, Vol. 1, Cambridge Univ. Press, Cambridge, 1915.
- P. A. MacMahon, The Indices of Permutations and the Derivation Therefrom of Functions of a Single Variable Associated with the Permutations of any Assemblage of Objects, Amer. J. Math. 35 (1913), no. 3, 281–322. MR 1506186, DOI 10.2307/2370312 —, Two applications of general theorems in combinatory analysis, Proc. London Math. Soc. 15 (1916), 314-321. E. Netto, Lehrbuch der Combinatorik, Chelsea, New York, 1901.
- M. P. Schützenberger, On a factorisation of free monoids, Proc. Amer. Math. Soc. 16 (1965), 21–24. MR 170971, DOI 10.1090/S0002-9939-1965-0170971-9
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 236-240
- MSC: Primary 05.10
- DOI: https://doi.org/10.1090/S0002-9939-1968-0223256-9
- MathSciNet review: 0223256