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%I #7 Jan 19 2025 11:09:17
%S 1,1287,429429,61408347,4789851066,235234907908,7997986868872,
%T 201299981193168,3940599631842016,62305564808355232,
%U 819557814017595744,9183250377581777952,89360090212622685456,767243308499780749560,5890437072025627650100
%N Number of 5 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,8,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,8,5 (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,changed
%O 0,2
%A _R. H. Hardin_, Jul 05 2008