id:A099505 - OEIS Search Results

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A transform of the Fibonacci numbers.

+0
4

0, 1, 1, 2, 1, 2, 0, 1, -3, -2, -8, -5, -12, -4, -11, 6, -1, 28, 16, 56, 26, 72, 3, 51, -80, -19, -224, -104, -373, -99, -408, 154, -205, 770, 222, 1655, 540, 2367, 24, 2196, -2196, 664, -6440, -1555, -11543, -1750, -14427, 4690, -11340, 22009, -1595, 49534, 7008, 77051, -5264, 85296, -65467, 57874 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`A transform of A000045 under the mapping g(x)->(1/(1+x^3))g(x/(1+x^3)).`
	FORMULA	`G.f.: x/(1-x-x^2+2x^3-x^4+x^6); a(n)=a(n-1)+a(n-2)-2a(n-3)+a(n-4)-a(n-6); a(n)=sum{k=0..floor(n/3), binomial(n-2k, k)(-1)^k*F(n-3k)}.`
	CROSSREFS	`Sequence in context: A127170 A143335 A143365 this_sequence A156837 A129559 A129680` `Adjacent sequences: A099502 A099503 A099504 this_sequence A099506 A099507 A099508`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 20 2004`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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