A140939 Number of 7 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,11,n can be permuted, see formula.

1, 31824, 200443464, 431621592480, 418241323113120, 216147115784860416, 66906538465238667936, 13494534142758137486784

Offset

0,2

Links

Table of n, a(n) for n=0..7.

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,11,7 (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: A284519 A183704 A278013 * A237165 A134124 A203738

Adjacent sequences: A140936 A140937 A140938 * A140940 A140941 A140942

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved