Let us define a sequence a0,a1,a2,⋯a_0,a_1,a_2,\cdots such that a0=0a_0 = 0, a1=1a_1 = 1, and an+2=2an+1+ana_{n+2} = 2a_{n+1}+a_n for n≥2n \geq 2. What is the value of a6a_6?

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