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A140922 Number of 7 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,9,n can be permuted, see formula. 0
1, 11440, 27810640, 24584605760, 10323075958624, 2424984388825856, 356031798904887040, 35384083398854927360 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..7.

FORMULA

(empirical) set p,q,r to n,9,7 (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: A257172 A269217 A154064 * A216363 A204569 A023071

Adjacent sequences:  A140919 A140920 A140921 * A140923 A140924 A140925

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified January 28 18:56 EST 2022. Contains 350657 sequences. (Running on oeis4.)