A140929 Number of 6 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,10,n can be permuted, see formula.

1, 8008, 14158144, 9386849472, 3031952379456, 559611782036736, 65728947490132992, 5307612509828239104, 312230512837780450368

Offset

0,2

Links

Table of n, a(n) for n=0..8.

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,10,6 (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: A013896 A345582 A345839 * A184371 A157663 A232075

Adjacent sequences: A140926 A140927 A140928 * A140930 A140931 A140932

Keyword

nonn,more

Author

R. H. Hardin, Jul 05 2008

Status

approved