Bobby the fly starts at the point (0,0) in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After 12 steps, how many different points could Franklin end up at?
1 step = 4 points
2 steps = 9 points
3 steps = 16 points
n steps = (n + 1)^2 points
12 steps = (12 + 1)^2 = 169 points
thanks, cphill!
+51 
