id:A101675 - OEIS Search Results

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G.f.: (1-x-x^2)/(1+x^2+x^4).

+0
3

1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2, 1, 1, 0, 1, -1, -2 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(0) = 1, a(1) = -1, a(2) = -2, a(3) = 1; for n >= 4, a(n)=-a(n-2)-a(n-4).` `a(n)=sum{k=0..floor(n/2), (-1)^A010060(n-2k)mod(binomial(n-k, k), 2)(-1)^k}; a(n)=cos(2pin/3+pi/6)/sqrt(3)+sin(2pin/3+pi/6)+cos(pin/3+pi/3)-sin(pi*n/3+pi/3)/sqrt(3).`
	CROSSREFS	`Partial sums are A101676.` `Adjacent sequences: A101672 A101673 A101674 this_sequence A101676 A101677 A101678` `Sequence in context: A075685 A037906 A120936 this_sequence A051764 A025906 A020944`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Dec 11 2004`

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.

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