A140931 - OEIS

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A140931

Number of 8 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 8,10,n can be permuted, see formula.

1, 43758, 367479684, 1028698128744, 1268665346776464, 819557814017595744, 312230512837780450368 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,10,8 (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: A205923 A094493 A165479 * A045157 A206517 A037147` `Adjacent sequences: A140928 A140929 A140930 * A140932 A140933 A140934`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified February 15 06:58 EST 2012. Contains 205694 sequences.