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%I #5 May 07 2021 19:59:21
%S 1,0,-3,2,4,-3,-6,5,7,-6,-9,8,10,-9,-12,11,13,-12,-15,14,16,-15,-18,
%T 17,19,-18,-21,20,22,-21,-24,23,25,-24,-27,26,28,-27,-30,29,31,-30,
%U -33,32,34,-33,-36,35,37,-36,-39,38,40,-39,-42,41,43,-42,-45,44,46,-45,-48,47,49,-48,-51,50,52,-51,-54,53,55,-54,-57,56
%N a(4n) = 3n+1, a(4n+1) = -3n, a(4n+2) = -3n-3, a(4n+3) = 3n+2.
%C Second differences of 0, 0, 1, 2, 0, 0, 3, 4 .. .
%F G.f.: (1+x^4+x^3-x^2+x)/((x+1)*(x^2+1)^2). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009
%F a(n) = (-2*(-1)^n+(7+6*n+3*(-1)^n)*cos(n*Pi/2)+(13-6*n+9*(-1)^n)*sin(n*Pi/2) )/8. - _Wesley Ivan Hurt_, May 07 2021
%K sign
%O 0,3
%A _Paul Curtz_, Sep 20 2007
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