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

0,2

Links

Table of n, a(n) for n=0..4.

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))

Crossrefs

Sequence in context: A273969 A203834 A234701 * A134615 A186607 A249195

Adjacent sequences: A140940 A140941 A140942 * A140944 A140945 A140946

Keyword

nonn,more

Author

R. H. Hardin, Jul 05 2008

Status

approved