A140929 - OEIS

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A140929

Number of 6 X 10 matrices with elements in 0..n with each row and each column in nondecreasing order. 6,10,n can be permuted, see formula.

1, 8008, 14158144, 9386849472, 3031952379456, 559611782036736, 65728947490132992, 5307612509828239104, 312230512837780450368 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,10,6 (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: A043614 A013813 A013896 * A184371 A157663 A109486` `Adjacent sequences: A140926 A140927 A140928 * A140930 A140931 A140932`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.