Practice problem
Let us define a sequence a0,a1,a2,⋯a_0,a_1,a_2,\cdotsa0,a1,a2,⋯ such that a0=0a_0 = 0a0=0, a1=1a_1 = 1a1=1, and an+2=2an+1+ana_{n+2} = 2a_{n+1}+a_nan+2=2an+1+an for n≥2n \geq 2n≥2. What is the value of a6a_6a6?
414141
464646
585858
707070
Type a concept, like “slope” or “photosynthesis”.