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%I #16 Dec 14 2023 05:17:54
%S 1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,
%T 0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,
%U 0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0,0,-1,0,1,0
%N Expansion of (1-x^3)/(1-x^5).
%C Periodic {1,0,0,-1,0}. Partial sums of A105368. Binomial transform of A105370.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-1,-1,-1,-1).
%F G.f.: (1+x+x^2)/(1+x+x^2+x^3+x^4);
%F a(n) = sqrt(2/5 - 2*sqrt(5)/25)*cos(4*Pi*n/5 + 3*Pi/10) + sqrt(2/5 + 2*sqrt(5)/25)*sin(2*Pi*n/5 + 2*Pi/5).
%K easy,sign
%O 0,1
%A _Paul Barry_, Apr 01 2005
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