id:A116870 - OEIS Search Results

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Seventh column of triangle A028364.

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429, 1001, 3003, 9646, 32123, 109550, 380162, 1337220, 4755402, 17065365, 61714147, 224661206, 822574599, 3027096930, 11190101910, 41532876060, 154712622870, 578210935770, 2167431271614, 8146882131276 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Also seventh diagonal of triangle A067323.`
	FORMULA	`a(n)= A028364(n+6,6) = sum(C(k)C(n+6-k),k=0..6), with the Catalan numbers C(n):=A000108(n).` `G.f.: (c6(x)c(x)-(c6(x)-1)/x)/x^6, with c6(x) := sum(C(k)*x^k, k=0..6) and c(x) is the g.f. for the Catalan numbers A000108.`
	CROSSREFS	`Cf. A116869 (sixth column).` `Sequence in context: A095811 A030467 A034278 this_sequence A064061 A115133 A090200` `Adjacent sequences: A116867 A116868 A116869 this_sequence A116871 A116872 A116873`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 24 2006`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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