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Triangle read by rows: T(n,k) is the number of functions on the Boolean lattice B_n satisfying f({}) =0, f([n])=k, and the Boolean growth rule: f(J union {i})-f(J) in {0,1} for all subsets J of [n]={1, . . . , , n} and all i in [n]\J, 0 <= k <= n.
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S. Billey and M. Konvalinka. Generalized Rank Functions and Quilts of Alternating Sign Matrices. Preprint.
Sara Billey and Matjaž Konvalinka, <a href="https://arxiv.org/abs/2412.03236">Generalized rank functions and quilts of alternating sign matrices</a>, arXiv:2412.03236 [math.CO], 2024. See p. 32.
nonn,tabl,changed,more
Sara Billey and Matjaz Konvalinka, Jul 25 2024
Sara Billey and Matjaz Konvalinka, Jul 9 2024