Answer
The inductor energy will not change.
Work Step by Step
The energy stored in an inductor is given as $ U=\frac{1}{2}LI^2$
Where the inductance is $ L=\mu_{\circ}n^2A $. The variable $ n $ represents the number of turns per meter and $ A $ is the cross sectional area of the solenoid. If the number of turns per meter is doubled then the inductance increases by four times and if the current is reduced to half then the energy is reduced by a factor of 4. Thus, we conclude that there will be no change in the energy stored.
