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A221891
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Number of 2 X n arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops or left turns.
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1
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0, 0, 8, 37, 169, 811, 3878, 18502, 88302, 421463, 2011587, 9601013, 45824300, 218713020, 1043886804, 4982326441, 23779950797, 113498396063, 541712050514, 2585516235106, 12340309202426, 58898578606299, 281114719650631
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