“An inebriated person in Nice (see Figure 1) takes a walk, each step in one of the four cardinal directions, north (N), south (S), east (E), and west (W). We are interested in those walks beginning at the center of the Promenade des Anglais (at the southern end of town) and ending anywhere on the promenade—all the while remaining on land (in other words, not venturing south of the promenade). In how many possible ways can such walks meander?”
[ Research research by Martin Gardiner ]