id:A083944 - OEIS Search Results

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A generalized Jacobsthal sequence.

+0
2

0, 1, -2, -3, -10, -19, -42, -83, -170, -339, -682, -1363, -2730, -5459, -10922, -21843, -43690, -87379, -174762, -349523, -699050, -1398099, -2796202, -5592403, -11184810, -22369619, -44739242, -89478483, -178956970, -357913939, -715827882, -1431655763 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(2n)=-A000975(2n), a(2n+1)=2-A000975(2n+1).`
	FORMULA	`a(n)=3/2-2^(n+1)/3-5(-1)^n/6; a(n)=a(n-1)+2a(n-2)-3, a(0)=0, a(1)=1; G.f.: x(1-4x)/((1+x)(1-x)(1-2x)); E.g.f.: 3exp(x)/2-2exp(2x)/3-5exp(-x)/6.`
	CROSSREFS	`Cf. A083943.` `Sequence in context: A143045 A156909 A122822 this_sequence A165550 A095919 A148044` `Adjacent sequences: A083941 A083942 A083943 this_sequence A083945 A083946 A083947`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 09 2003`

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

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