id:A134824 - OEIS Search Results

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Generated by reverse of Schroeder II o.g.f.

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0, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The o.g.f. S(x) for A001003 (Schroeder II) satisfies 2S^2(x) + (1+x)S(x) + x = 0.` `Using the Lagrange series for y=S(x) with y=0+x*(y/A(y)) leads to the formula for Schroeder II numbers involving the Narayana triangle A001263. See the Narayana comment by B. Cloitre under A001003 and a multiple differentiation formula given there.`
	FORMULA	`G.f. A(x)= x(1-2x)/(1-x).` `a(0)=0,a(1)=1, a(n)=-1, n>=2.`
	CROSSREFS	`Adjacent sequences: A134821 A134822 A134823 this_sequence A134825 A134826 A134827` `Sequence in context: A057428 A062157 A112347 this_sequence A000007 A014041 A015868`
	KEYWORD	`sign,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Nov 13 2007`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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