A140933 - OEIS

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.

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`

Last modified March 28 23:19 EDT 2023. Contains 361596 sequences. (Running on oeis4.)