A140943 Number of 11 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 11,11,n can be permuted, see formula.

1, 705432, 79483257308, 2543610972177184, 31148053701600494400

Offset: 0

Author

R. H. Hardin, Jul 05 2008

Keywords

• nonn
• more

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,11,11 (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))