A134824 - OEIS

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A134824

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

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; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`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	`Sequence in context: A165574 A165581 A165586 * A165476 A165596 A070238` `Adjacent sequences: A134821 A134822 A134823 * A134825 A134826 A134827`
	KEYWORD	`sign,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Nov 13 2007`

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.