A140935 Number of 3 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order.

1, 364, 41405, 2318680, 78835120, 1837984512, 31803696288, 431621592480, 4783805983320, 44648855844320, 359423289546776, 2543610972177184, 16072267131888800, 91841526467936000, 479707973069130000, 2311063705550691000, 10348807328532138375

Offset: 0

Author

R. H. Hardin, Jul 05 2008

Keywords

• nonn

Comments

In the definition, 3,11,n can be permuted, see formula.

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,11,3 (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))

Extensions

Edited by N. J. A. Sloane, Aug 28 2010 and May 08 2012