id:A140918 - OEIS Search Results

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Number of 3 X 9 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,9,n can be permuted, see formula.

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1, 220, 15730, 572572, 13026013, 208416208, 2530768240, 24584605760, 198520691512, 1371597504992, 8291930371088, 44648855844320, 217233856319480, 966332582836544, 3968865965221520, 15175075749376400, 54395951675154375, 183902102876992500 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,9,3 (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: A022042 A095702 A107506 this_sequence A049023 A091756 A159565` `Adjacent sequences: A140915 A140916 A140917 this_sequence A140919 A140920 A140921`
	KEYWORD	`nonn`
	AUTHOR	`Ron Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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