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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 Table of n, a(n) for n=0..19. 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 Adjacent sequences: A140899 A140900 A140901 * A140903 A140904 A140905 KEYWORD nonn AUTHOR R. H. Hardin, Jul 05 2008 STATUS approved

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Last modified June 17 22:40 EDT 2024. Contains 373464 sequences. (Running on oeis4.)