A140941 Number of 9 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 9,11,n can be permuted, see formula.

1, 167960, 4936848280, 44648855844320, 165848175033726640, 303282730418598205184, 309490028060407426691200

Offset

0,2

Links

Table of n, a(n) for n=0..6.

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,11,9 (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))

Crossrefs

Sequence in context: A247994 A235741 A236081 * A186550 A151618 A156426

Adjacent sequences: A140938 A140939 A140940 * A140942 A140943 A140944

Keyword

nonn,more

Author

R. H. Hardin, Jul 05 2008

Status

approved