A140939 - OEIS

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A140939

Number of 7 X 11 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,11,n can be permuted, see formula.

1, 31824, 200443464, 431621592480, 418241323113120, 216147115784860416, 66906538465238667936, 13494534142758137486784 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Table of n, a(n) for n=0..7.`
	FORMULA	`(empirical) set p,q,r to n,11,7 (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: A284519 A183704 A278013 * A237165 A134124 A203738` `Adjacent sequences: A140936 A140937 A140938 * A140940 A140941 A140942`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin, Jul 05 2008`
	STATUS	`approved`

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Last modified December 1 12:46 EST 2020. Contains 338833 sequences. (Running on oeis4.)