# Which number is the car parked on?

Which number is the Land Rover parked on?

$$59$$

The sequence advances by the next natural square

Sequence:
$$5$$ $$9$$ $$18$$ $$34$$ $$59$$ $$95$$

Differences:
$$4$$ $$9$$ $$16$$ $$25$$ $$36$$

And the next term will be $$144$$ which is $$95 + 49$$

The parking spots fit the sequence A153058.

$$a(0)=4; \hspace{1em} a(n)=n^2+a(n-1)$$

i.e. Starting from the number 4, add the square of the parking space's index to the previous parking space's number.

$$a(1) = 5$$
$$a(2) = 9$$
$$a(3) = 18$$
$$a(4) = 34$$
$$a(5) = 59$$
$$a(6) = 95$$

The $$n^{\text{th}}$$ parking space (for $$n \geq 0$$) can be found using the solved recurrence:

$$\begin{gather*}a(n) = 4 + \frac{n (1 + n) (1 + 2 n)}{6}\end{gather*}$$

Therefore, the missing number, on the fifth parking space, is $$59$$.

(This is the same answer as @WeatherVane's.)