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A140924 Number of 9 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 9,9,n can be permuted, see formula. 0
1, 48620, 449141836, 1371597504992, 1832516612010448, 1274867710694037824, 520384188062967417280 (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,9,9 (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: A024761 A245862 A177313 * A177314 A177315 A172613

Adjacent sequences:  A140921 A140922 A140923 * A140925 A140926 A140927

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified September 26 08:09 EDT 2021. Contains 347664 sequences. (Running on oeis4.)