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A140918 Number of 3 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,9,n can be permuted, see formula. 0
1, 220, 15730, 572572, 13026013, 208416208, 2530768240, 24584605760, 198520691512, 1371597504992, 8291930371088, 44648855844320, 217233856319480, 966332582836544, 3968865965221520, 15175075749376400, 54395951675154375, 183902102876992500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..17.

FORMULA

(empirical) set p,q,r to n,9,3 (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: A095702 A271674 A107506 * A049023 A282591 A091756

Adjacent sequences:  A140915 A140916 A140917 * A140919 A140920 A140921

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified October 24 18:08 EDT 2021. Contains 348233 sequences. (Running on oeis4.)