A140917 Number of 8 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,8,n can be permuted, see formula.

1, 12870, 34763300, 33803832920, 15484613937936, 3940599631842016, 623055648083552320, 66345156372852988800

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,8,8 (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: A245861 A068359 A177310 * A351487 A177311 A177312

Adjacent sequences: A140914 A140915 A140916 * A140918 A140919 A140920

Keyword

nonn,more

Author

R. H. Hardin, Jul 05 2008

Status

approved