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%I #8 May 02 2019 18:29:40
%S 1,0,0,4,-8,16,-16,0,64,-192,384,-512,256,1024,-4096,9216,-14336,
%T 12288,12288,-81920,212992,-376832,425984,0,-1507328,4718592,-9437184,
%U 12845056,-6815744,-24117248,99614720
%N a(n)=-2a(n-1)+4a(n-3).
%C Binomial transform is A099213.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-2,0,4).
%F G.f.: (1+2x)/(1+2x-4x^3); a(n)=-2a(n-1)+4a(n-3).
%t LinearRecurrence[{-2,0,4},{1,0,0},40] (* _Harvey P. Dale_, May 02 2019 *)
%Y Cf. A099211.
%K easy,sign
%O 0,4
%A _Paul Barry_, Oct 06 2004
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