Published: January 08, 2016Received: October 26, 2015Released on J-STAGE: November 17, 2016Accepted: February 25, 2016
Advance online publication: April 08, 2016
Revised: -
We take an elementary approach to derive a generalization of Knuth's formula using Lassalle's explicit formula. In particular, we give a formula for the Kostka numbers of a shape μ├ n and weight (m,1n-m) for m=3,4.