Postprint version. Published in Linear and Multilinear Algebra, Volume 10, Issue 3, January 1, 1981, pages 253-260.
Copyright © 1981 Taylor & Francis. This is an electronic version of an article published in Linear and Multilinear Algebra . The definitive version is available at http://dx.doi.org/10.1080/03081088108817417.
A new statistic, the r-major index, is defined for sequences. A linear recurrence is then derived that enumerates sequences by r-descent number and r-major index.