A140916 - OEIS

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A140916

Number of 7 X 8 matrices with elements in 0..n with each row and each column in nondecreasing order. 7,8,n can be permuted, see formula.

1, 6435, 9202050, 4971151900, 1318349483880, 201299981193168, 19702998159210080, 1335119245893326400, 66345156372852988800 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,8,7 (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: A104374 A104318 A194720 * A025040 A074978 A105377` `Adjacent sequences: A140913 A140914 A140915 * A140917 A140918 A140919`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.