Math Trivia : Moving insect

As shown in the figure below, nine points are at the vertex of the four squares. 

An insect leaves A and moves to the next point every second. 

How many ways of moving the insect is at B 6 seconds later are there? 

It can pass points and sides more than twice. 

60 ways 

Write the number of ways to move until the insect arrives at each vertex as shown in a figure below. 

For example number of moving ways arriving at a central point 4 seconds later becomes the total of arriving way at four red points 3 seconds later. 

It's 5 + 5 + 3 + 3 = 16 ways.