Jumping frogs

We've been playing the game of Frogs.

The frogs can move into a space either by sliding to the next lilly pad or by jumping over the one frog next to them. You can play the game on the app below:

Full Screen and tablet version

We found the minimum number of moves necessary. We used desmos.com to make a graph of this. 

We looked at the points for 1, 2 and 3 frogs of each colour, and then estimated where the one for 4 frogs would be.

Samyak spotten a pattern in the numbers:

"You add odd numbers!"

Click on the image below to see the graph on desmos.com.