id:A083943 - OEIS Search Results

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A generalized Jacobsthal sequence.

+0
2

0, 1, -1, -1, -5, -9, -21, -41, -85, -169, -341, -681, -1365, -2729, -5461, -10921, -21845, -43689, -87381, -174761, -349525, -699049, -1398101, -2796201, -5592405, -11184809, -22369621, -44739241, -89478485, -178956969, -357913941, -715827881, -1431655765 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`a(2n)=-A001045(2n), a(2n+1)=2-A001045(2n+1).`
	FORMULA	`a(n)=1-2^n/3-2(-1)^n/3; a(n)=a(n-1)+2a(n-2)-2, a(0)=0, a(1)=1; G.f.: x(1-3x)/((1+x)(1-x)(1-2x)); E.g.f.: exp(x)-(exp(2x)+2exp(-x))/3.`
	CROSSREFS	`Cf. A083944.` `Sequence in context: A081883 A049744 A000323 this_sequence A097074 A050559 A082676` `Adjacent sequences: A083940 A083941 A083942 this_sequence A083944 A083945 A083946`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 09 2003`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

AT&T Labs Research