Document Type

Article

Department/Program

Mathematics

Journal Title

Electronic Journal of Combinatorics

Pub Date

2012

Volume

19

Issue

3

Abstract

By counting flags in finite vector spaces, we obtain a q-multinomial analog of a recursion for q-binomial coefficients proved by Nijenhuis, Solow, and Wilf. We use the identity to give a combinatorial proof of a known recurrence for the generalized Galois numbers.

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