What Form Does a Particular Solution of the Linear Nonhomogeneous $a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 }$

Short Answer

What form does a particular solution of the linear nonhomogeneous recurrence relation $a _ { n } = 4 a _ { n - 1 } - 4 a _ { n - 2 }$ + $F ( n )$ have when $F ( n ) = \left( n ^ { 2 } + 1 \right) 2 ^ { n }$ ?