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A140906
Number of 6 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,6,n can be permuted, see formula.
0
1, 924, 226512, 24293412, 1447482465, 55197331332, 1478619421136, 29706808370096, 469699956117392, 6062460972064640, 65728947490132992, 612416828057104512, 4995284546047230864, 36217696550300209296, 236405501218419838800, 1404221840699607829900
OFFSET
0,2
FORMULA
(empirical) set p,q,r to n,6,6 (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: A177304 A022053 A107517 * A179715 A351485 A362171
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved