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The r-Major Index

Don Rawlings, California Polytechnic State University - San Luis Obispo

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Copyright © 1981 Elsevier.

Abstract

The r-major index is a new permutation statistic that is suggested by the work of Carlitz and Gausner on Foulkes' skew hook rule for computing the r-Eulerian numbers. The new statistic (1) generalizes both the major index and the inversion number of a permutation and (2) leads to a q-analog of the r-Eulerian numbers.

Suggested Citation

Don Rawlings. "The r-Major Index" Journal of Combinatorial Theory, Series A 31 (1981): 175-183.
Available at: http://works.bepress.com/drawling/19



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