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1. On the rational recursive sequence xn+1 = ( A + ∑k i=0 αixn−i )/∑k i=0 βixn−i

2. On the rational recursive sequence xn+1 = α0xn + α1xn−l + α2xn−k ⁄ β0xn + β1xn−l + β2xn−k