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Consider the recurrence relation an=2an−1+3an−2+3n a_n = 2a_{n-1} + 3 a_{n-2} + 3^n an=2an−1+3an−2+3n for n≥2n \geq 2 n≥2 with initial conditions a0=−1,a1=1.a_0 = -1, a_1 = 1. a0=−1,a1=1.
Given that a100a_{100}a100 is in the form of
x⋅yz−wv \LARGE \frac {x\cdot y^z - w}{v} vx⋅yz−w
where x,y,w,zx,y,w,zx,y,w,z are prime numbers and vvv as a perfect square, what is the value of w+v+x+y+zw+v+x+y+zw+v+x+y+z?
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