%I #32 Jul 27 2022 08:29:03
%S 1,1,0,0,-1,-1,-1,-1,0,0,1,1,1,1,0,0,-1,-1,-1,-1,0,0,1,1,1,1,0,0,-1,
%T -1,-1,-1,0,0,1,1,1,1,0,0,-1,-1,-1,-1,0,0,1,1,1,1,0,0,-1,-1,-1,-1,0,0,
%U 1,1,1,1,0,0,-1,-1,-1,-1,0,0,1,1,1,1,0,0,-1,-1
%N Period 12: repeat [1, 1, 0, 0, -1, -1, -1, -1, 0, 0, 1, 1].
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,0,-1).
%F a(n) = H(floor((n + 4)/2), 1, 1/2) where H(n, a, b) = hypergeom([a - n/2, b - n/2], [1 - n], 4).
%F From _Chai Wah Wu_, Feb 16 2021: (Start)
%F a(n) = a(n-2) - a(n-4) for n > 3.
%F G.f.: (1 - x)*(x + 1)^2/(x^4 - x^2 + 1). (End)
%o (Magma) &cat [[1, 1, 0, 0, -1, -1, -1, -1, 0, 0, 1, 1]^^10]
%K sign,easy
%O 0
%A _Peter Luschny_, Sep 03 2019