A140940 - OEIS

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A140940

Number of 8 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,11,n can be permuted, see formula.

1, 75582, 1057896060, 4783805983320, 9271015995674160, 9183250377581777952, 5247874388850386800416 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..6.`
	FORMULA	`(empirical) set p,q,r to n,11,8 (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: A347848 A204360 A236817 * A204865 A323025 A323804` `Adjacent sequences: A140937 A140938 A140939 * A140941 A140942 A140943`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin, Jul 05 2008`
	STATUS	`approved`

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Last modified August 12 11:42 EDT 2022. Contains 356071 sequences. (Running on oeis4.)