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A140932 Number of 9 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 9,10,n can be permuted, see formula. 0
1, 92378, 1551580888, 8291930371088, 18748054569029968, 21427584214357481888 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..5.

FORMULA

(empirical) set p,q,r to n,10,9 (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: A116134 A318631 A194722 * A208623 A294857 A025042

Adjacent sequences:  A140929 A140930 A140931 * A140933 A140934 A140935

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified June 20 09:30 EDT 2021. Contains 345162 sequences. (Running on oeis4.)