id:A120732 - OEIS Search Results

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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.

+0
2

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

	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 this_sequence A090351 A136221 A153305` `Adjacent sequences: A120729 A120730 A120731 this_sequence A120733 A120734 A120735`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 18 2006`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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