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A140927
Number of 4 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,10,n can be permuted, see formula.
0
1, 1001, 273273, 33157124, 2254684432, 98561919456, 3031952379456, 69951472754592, 1268665346776464, 18748054569029968, 232187445047217296, 2464759032039691296, 22841906047840362560, 187629942535831549600, 1383573735925984746000, 9257736027151809697500
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,10,4 (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: A221347 A109431 A267599 * A261544 A097659 A295462
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved