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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.
0
1, 1287, 429429, 61408347, 4789851066, 235234907908, 7997986868872, 201299981193168, 3940599631842016, 62305564808355232, 819557814017595744, 9183250377581777952, 89360090212622685456, 767243308499780749560, 5890437072025627650100
OFFSET
0,2
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
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved