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A140902 Number of 4 X 5 matrices with elements in 0..n with each row and each column in nondecreasing order. 4,5,n can be permuted, see formula. 1
1, 126, 5292, 116424, 1646568, 16818516, 133613766, 868489479, 4789851066, 23029990984, 98561919456, 381644355456, 1354627767168, 4454641311264, 13691471089032, 39620253756006, 108618373687131, 283595960194470, 708397594804900, 1699573176873000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
(empirical) set p,q,r to n,5,4 (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: A286976 A186816 A292882 * A270512 A037963 A240929
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 05 2008
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)