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A140928 Number of 5 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 5,10,n can be permuted, see formula. 0
1, 3003, 2186184, 644195552, 98561919456, 9095857138368, 559611782036736, 24648355308799872, 819557814017595744, 21427584214357481888, 454924095627897307776, 8048657076493567752960, 121208942878147181041600, 1581318351414483181236000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..13.

FORMULA

(empirical) set p,q,r to n,10,5 (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: A100896 A324405 A140915 * A090162 A031818 A152207

Adjacent sequences:  A140925 A140926 A140927 * A140929 A140930 A140931

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified October 27 01:36 EDT 2021. Contains 348270 sequences. (Running on oeis4.)