A140914 Number of 5 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,8,n can be permuted, see formula.

1, 1287, 429429, 61408347, 4789851066, 235234907908, 7997986868872, 201299981193168, 3940599631842016, 62305564808355232, 819557814017595744, 9183250377581777952, 89360090212622685456, 767243308499780749560, 5890437072025627650100

Offset

0,2

Links

Table of n, a(n) for n=0..14.

Formula

(empirical) set p,q,r to n,8,5 (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: A104399 A353347 A232253 * A239436 A239939 A179573

Adjacent sequences: A140911 A140912 A140913 * A140915 A140916 A140917

Keyword

nonn

Author

R. H. Hardin, Jul 05 2008

Status

approved