A140922 Number of 7 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,9,n can be permuted, see formula.

1, 11440, 27810640, 24584605760, 10323075958624, 2424984388825856, 356031798904887040, 35384083398854927360

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,9,7 (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: A257172 A269217 A154064 * A216363 A204569 A023071

Adjacent sequences: A140919 A140920 A140921 * A140923 A140924 A140925

Keyword

nonn,more

Author

R. H. Hardin, Jul 05 2008

Status

approved