A120732 - OEIS

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A120732

Number of square matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n.

1, 1, 3, 15, 107, 991, 11267, 151721, 2360375, 41650861, 821881709, 17932031225, 428630422697, 11138928977049, 312680873171465, 9428701154866535, 303957777464447449, 10431949496859168189, 379755239311735494421 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	FORMULA	`a(n) = (1/n!)Sum_{k=0..n} (-1)^(n-k)Stirling1(n,k)A048144(k). G.f.: Sum_{n>=0} Sum_{j=0..n} (-1)^(n-j)binomial(n,j)*((1-x)^(-j)-1)^n.`
	CROSSREFS	`Cf. A104602.` `Sequence in context: A120016 A074519 A105618 * A090351 A136221 A153305` `Adjacent sequences: A120729 A120730 A120731 * A120733 A120734 A120735`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 18 2006`

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Last modified February 14 17:56 EST 2012. Contains 205654 sequences.