A115008 - OEIS

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A115008

a(n) = a(n-1)+a(n-3)+a(n-4).

1, 0, 2, 4, 5, 7, 13, 22, 34, 54, 89, 145, 233, 376, 610, 988, 1597, 2583, 4181, 6766, 10946, 17710, 28657, 46369, 75025, 121392, 196418, 317812, 514229, 832039, 1346269, 2178310, 3524578, 5702886, 9227465, 14930353, 24157817, 39088168 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`a(2n) = F(2n+1) = A001519(n). a(n+2) - a(n+1) - a(n) gives match to A000034, apart from signs.`
	FORMULA	`G.f. -(1-x+2x^2+x^3)/((1+x^2)(x^2+x-1))` `a(2n+1) = (-1)^(n+1) + A001906(n+1) (compare with a similar property for A116697) - Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Mar 31 2006`
	CROSSREFS	`Cf. A006498, A116697, A116698, A116699.` `Sequence in context: A050027 A123643 A168540 * A115883 A063508 A101724` `Adjacent sequences: A115005 A115006 A115007 * A115009 A115010 A115011`
	KEYWORD	`easy,nonn`
	AUTHOR	`Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 23 2006`

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Last modified February 14 17:53 EST 2012. Contains 205651 sequences.