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A140921
Number of 6 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,9,n can be permuted, see formula.
0
1, 5005, 5725720, 2530768240, 559299781040, 72261531710368, 6062460972064640, 356031798904887040, 15480536486999030720, 520384188062967417280
OFFSET
0,2
LINKS
Feihu Liu, Guoce Xin, and Chen Zhang,Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS,arXiv:2412.18744 [math.CO], 2024. See p. 25.
FORMULA
(empirical) set p,q,r to n,9,6 (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))
KEYWORD
nonn,more
AUTHOR
R. H. Hardin,Jul 05 2008
STATUS
approved