This paper studies the relationship between the major index and inversion number for Fibonacci compositions, that is compositions with parts 1 and 2 only. We prove the two statistics are equidistributed for this class of compositions.
"Equidistribution of the Major Index and Inversion Number for Fibonacci Compositions." Missouri J. Math. Sci. 34 (1) 62 - 66, May 2022. https://doi.org/10.35834/2022/3401062