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A140923 Number of 8 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,9,n can be permuted, see formula. 0
1, 24310, 118195220, 198520691512, 151561524301616, 62305564808355232, 15480536486999030720 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..6.

FORMULA

(empirical) set p,q,r to n,9,8 (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: A154069 A318630 A194721 * A208622 A294856 A025041

Adjacent sequences:  A140920 A140921 A140922 * A140924 A140925 A140926

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified January 18 01:10 EST 2022. Contains 350410 sequences. (Running on oeis4.)