Find the 101st term!
Discrete Mathematics
Level
3
Consider the recurrence relation \( a_n = 2a_{n-1} + 3 a_{n-2} + 3^n \) for \(n \geq 2 \) with initial conditions \(a_0 = -1, a_1 = 1. \)
Given that \(a_{100}\) is in the form of
\[ \LARGE \frac {x\cdot y^z - w}{v} \]
where \(x,y,w,z\) are prime numbers and \(v\) as a perfect square, what is the value of \(w+v+x+y+z\)?
by
Vishnu H Nair