Question 130
It is given the sequence $\{a_n\}$: $a_1 = 1$,
$$
a_{n+1} = 2a_n + n \cdot (1 + 2^n), \quad n = 1, 2, 3, \dots
$$
Find the general term $a_n$.
$$
a_{n+1} = 2a_n + n \cdot (1 + 2^n), \quad n = 1, 2, 3, \dots
$$
Find the general term $a_n$.