The reason for this can be properly understood when you use the Aufbau principle. Simply put, it states that orbitals are filled with electrons based on the increasing order of their energy levels. This means orbitals with lower energy are filled followed by the subsequent higher orbitals.
Going by this principle, it is easy to say that the 3d orbitals would receive electrons before the 4s orbitals, judging by their coefficients. However, this is not true because the 4s orbitals have lower energy compared to the 3d orbitals. To confirm this, you can use the (n+l) rule to determine the energy of the two orbitals.
In this rule, 'n' represents the principal quantum number, while 'l' is the azimuthal quantum number. For 4s orbitals, the (n+l) rule gives: (4+0) = 4. On the other hand, the (n+1) gives 5 for the 3d orbitals. This shows that the 3d is a higher energy orbital compared to the 4s.