id:A099517 - OEIS Search Results

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A transform of (1-x)/(1-2x).

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1, 1, 2, 3, 6, 10, 17, 27, 44, 71, 116, 188, 305, 493, 798, 1291, 2090, 3382, 5473, 8855, 14328, 23183, 37512, 60696, 98209, 158905, 257114, 416019, 673134, 1089154, 1762289, 2851443, 4613732, 7465175, 12078908, 19544084, 31622993, 51167077 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`A transform of A011782 under the mapping g(x)->(1/(1+x^3))g(x/(1+x^3))`
	FORMULA	`G.f.: (1-x+x^3)/((1+x^3)(1-2x+x^3)); a(n)=2a(n-1)-2a(n-3)+2a(n-4)-a(n-6); a(n)=sum{k=0..floor(n/3), binomial(n-2k, k)(-1)^k(2^(n-3k)+0^(n-3k))/2}.`
	CROSSREFS	`Cf. A099505, A099508, A099516, A000071.` `Sequence in context: A140669 A001636 A036588 this_sequence A026647 A026669 A023614` `Adjacent sequences: A099514 A099515 A099516 this_sequence A099518 A099519 A099520`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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