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%I #8 Jan 19 2025 11:09:13
%S 1,3003,2147145,614083470,90474964580,7997986868872,469699956117392,
%T 19702998159210080,623055648083552320,15480536486999030720,
%U 312230512837780450368,5247874388850386800416
%N Number of 6 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,8,n can be permuted, see formula.
%H Feihu Liu, Guoce Xin, and Chen Zhang, <a href="https://arxiv.org/abs/2412.18744">Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS</a>, arXiv:2412.18744 [math.CO], 2024. See p. 25.
%F (empirical) set p,q,r to n,8,6 (in any order) in s=p+q+r-1; a(n) = product {i in 0..r-1} (binomial(s,p+i)*i!/(s-i)^(r-i-1))
%K nonn,more
%O 0,2
%A _R. H. Hardin_, Jul 05 2008