a(n) = - 2*a(n-1) - 8*a(n-3), a(0) = 1, a(1) = 1, a(2) = -2. 1, 1, 2, 4, 0, 16, 0, 0, 128, 256, 512, 2048, 6144, 16384, 49152, 147456
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