id:A112495 - OEIS Search Results

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Third column of triangle A112493 used for e.g.f.s of Stirling2 diagonals.

+0
3

3, 25, 130, 546, 2037, 7071, 23436, 75328, 237127, 735813, 2260518, 6896046, 20933673, 63325051, 191088976, 575625900, 1731858075, 5206059585, 15640198410, 46966732090, 140996664733, 423191320215, 1269993390420 (list; graph; listen)

	OFFSET	`0,1`
	FORMULA	`a(n)=3a(n-1)+ (n+3)(2^(n+2)-(n+3)), n>=1, a(0)=3.` `G.f.:(3-5x)/(((1-x)^3)((1-2x)^2)(1-3*x))`
	CROSSREFS	`Cf. A000295 (second column).` `Sequence in context: A165206 A095664 A099868 this_sequence A034578 A144646 A000544` `Adjacent sequences: A112492 A112493 A112494 this_sequence A112496 A112497 A112498`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 14 2005`

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.

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