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A140933 Number of 10 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 10,10,n can be permuted, see formula. 0
1, 184756, 5924217936, 58043512597616, 232187445047217296, 454924095627897307776 (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,10,10 (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: A024754 A024762 A245863 * A244173 A245795 A251449

Adjacent sequences:  A140930 A140931 A140932 * A140934 A140935 A140936

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 05 2008

STATUS

approved

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Last modified May 9 20:59 EDT 2021. Contains 343746 sequences. (Running on oeis4.)