A078712 - OEIS

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A078712

Expansion of (2x+3)/(x^3-x-1).

-3, 1, -1, -2, 3, -4, 2, 1, -5, 7, -6, 1, 6, -12, 13, -7, -5, 18, -25, 20, -2, -23, 43, -45, 22, 21, -66, 88, -67, 1, 87, -154, 155, -68, -86, 241, -309, 223, 18, -327, 550, -532, 205, 345, -877, 1082, -737, -140, 1222, -1959, 1819, -597, -1362 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`This sequence is -A001608(-n), the Perrin sequence for negative n. - T. D. Noe (noe(AT)sspectra.com), Oct 10 2006`
	FORMULA	`a(n) = a(n-3)-a(n-1) with a(0)=-3, a(1)=1, a(2)=-1. a(n) = A001945(n)-A001608(n). a(n) ~ 2*real(r^n) with r=0.87744+0.7448617i one inverse complex root of x^3-x-1=0.`
	CROSSREFS	`Cf. A001608, A001945.` `Sequence in context: A030727 A128316 A065836 * A035254 A143934 A086639` `Adjacent sequences: A078709 A078710 A078711 * A078713 A078714 A078715`
	KEYWORD	`sign`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Dec 19 2002`

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Last modified February 14 05:35 EST 2012. Contains 205570 sequences.