id:A140907 - OEIS Search Results

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Number of 3 X 7 matrices with elements in 0..n with each row and each column in nondecreasing order. 3,7,n can be permuted, see formula.

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1, 120, 4950, 108900, 1557270, 16195608, 131589315, 877262100, 4971151900, 24584605760, 108284013552, 431621592480, 1577078895600, 5337805492800, 16880809870980, 50245234086564, 141622596077325, 379998709805000, 974996689631250, 2401570793407500 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`(empirical) set p,q,r to n,7,3 (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: A055360 A001807 A111155 this_sequence A072419 A031145 A126245` `Adjacent sequences: A140904 A140905 A140906 this_sequence A140908 A140909 A140910`
	KEYWORD	`nonn`
	AUTHOR	`Ron Hardin rhh(at)cadence.com, Jul 05 2008`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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