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Number of 4 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,11,n can be permuted, see formula.
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%I #7 Jan 25 2025 12:15:33

%S 1,1365,496860,78835120,6892441920,381644355456,14675134144320,

%T 418241323113120,9271015995674160,165848175033726640,

%U 2464759032039691296,31148053701600494400,341145350065148272000,3289615875628215480000,28300371871213324350000

%N Number of 4 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,11,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,11,4 (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

%O 0,2

%A _R. H. Hardin_, Jul 05 2008