A140930 Number of 7 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,10,n can be permuted, see formula.

1, 19448, 77364144, 108284013552, 69951472754592, 24648355308799872, 5307612509828239104, 758274102606038236608

Offset

0,2

Links

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

Formula

(empirical) set p,q,r to n,10,7 (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: A323558 A321642 A204592 * A254486 A254493 A253858

Adjacent sequences: A140927 A140928 A140929 * A140931 A140932 A140933

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved