Christian Krattenthaler
Refined enumeration of two-rowed
set-valued standard tableaux via two-coloured Motzkin paths
(44 pages)
Abstract.
We derive formulae for the number of set-valued standard tableaux of
two-rowed shapes, keeping track of the total number of entries, the
number of entries in the first row, and the number of entries in
the second row. Key in the proofs is a bijection with two-coloured
Motzkin paths followed by generating function computations and
coefficient extraction helped by the Lagrange inversion formula.
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