id:A140903 - OEIS Search Results

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Number of 3 X 6 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,6,n can be permuted, see formula.

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1, 84, 2520, 41580, 457380, 3737448, 24293412, 131589315, 614083470, 2530768240, 9386849472, 31803696288, 99604982880, 291153026880, 800670823920, 2085276513474, 5172303508911, 12276881393700, 27999904933000, 61578738292500, 130994770549500, 270273795363000 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,6,3 (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: A166847 A098935 A104674 this_sequence A026809 A114253 A017800` `Adjacent sequences: A140900 A140901 A140902 this_sequence A140904 A140905 A140906`
	KEYWORD	`nonn`
	AUTHOR	`Ron Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.

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