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A140920 Number of 5 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,9,n can be permuted, see formula. 0
1, 2002, 1002001, 208416208, 23029990984, 1566039386912, 72261531710368, 2424984388825856, 62305564808355232, 1274867710694037824, 21427584214357481888, 303282730418598205184, 3688967826726218553440, 39214657989988793866400, 369491052699789370779000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

FORMULA

(empirical) set p,q,r to n,9,5 (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: A154049 A339803 A108116 * A162240 A127351 A162241

Adjacent sequences: A140917 A140918 A140919 * A140921 A140922 A140923

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified February 8 04:10 EST 2023. Contains 360134 sequences. (Running on oeis4.)