Geodesic
Hook formulas for skew shapes IV. Increasing tableaux and factorial Grothendieck polynomials
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIII, Tome 507 (2021), pp. 59-98

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We present a new family of hook-length formulas for the number of standard increasing tableaux which arise in the study of factorial Grothendieck polynomials. In the case of straight shapes, our formulas generalize the classical hook-length formula and the Littlewood formula. For skew shapes, our formulas generalize the Naruse hook-length formula and its $q$-analogs, which were studied in previous papers of the series. 
@article{ZNSL_2021_507_a4,
     author = {A. H. Morales and I. Pak and G. Panova},
     title = {Hook formulas for skew shapes {IV.} {Increasing} tableaux and factorial {Grothendieck} polynomials},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {59--98},
     publisher = {mathdoc},
     volume = {507},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_507_a4/}
}
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A. H. Morales; I. Pak; G. Panova. Hook formulas for skew shapes IV. Increasing tableaux and factorial Grothendieck polynomials. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXIII, Tome 507 (2021), pp. 59-98. http://geodesic.mathdoc.fr/item/ZNSL_2021_507_a4/