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A140921 Number of 6 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,9,n can be permuted, see formula. 0
1, 5005, 5725720, 2530768240, 559299781040, 72261531710368, 6062460972064640, 356031798904887040, 15480536486999030720, 520384188062967417280 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..9.

FORMULA

(empirical) set p,q,r to n,9,6 (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: A249081 A154059 A138637 * A295459 A238926 A209908

Adjacent sequences:  A140918 A140919 A140920 * A140922 A140923 A140924

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified November 27 20:49 EST 2021. Contains 349395 sequences. (Running on oeis4.)