A permutation is 1432-avoiding if and only if its double Grothendieck polynomial equals a signed sum over set-valued Rothe tableaux of its Rothe diagram.
Buch, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math
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Set-valued Rothe Tableaux and Grothendieck Polynomials
A permutation is 1432-avoiding if and only if its double Grothendieck polynomial equals a signed sum over set-valued Rothe tableaux of its Rothe diagram.