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%I #8 Sep 08 2015 15:12:52
%S 1,0,1,1,-1,0,0,-2,0,1,-1,1,2,-1,0,1,-2,-1,1,-1,0,2,0,0,1,-1,-1,0,-1,
%T 0,1,0,1,1,-1,0,0,-2,0,1,-1,1,2,-1,0,1,-2,-1,1,-1,0,2,0,0,1,-1,-1,0,
%U -1,0,1,0,1,1,-1,0,0,-2,0,1,-1,1,2,-1,0,1,-2,-1,1,-1,0,2,0,0,1,-1,-1
%N A Chebyshev transform of Fib(n)+(-1)^n.
%C A Chebyshev transform of A008346, which has g.f. 1/(1-2x^2-x^3). The image of G(x) under the Chebyshev transform is (1/(1+x^2))G(x/(1+x^2)).
%C Periodic with period length 30. - _Ray Chandler_, Sep 08 2015
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,-1,1,-1,0,-1).
%F G.f.: (1+x^2)^2/(1+x^2-x^3+x^4+x^6); a(n)=-a(n-2)+a(n-3)-a(n-4)-a(n-6); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k(F(n-2k)+(-1)^(n-2k)}; a(n)=A014019(n-1)+A000484(n).
%K easy,sign
%O 0,8
%A _Paul Barry_, Oct 19 2004
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