Preheat a greased griddle over medium heat.

In a mixing bowl, mash the banana into a puree, or leave a little bit of chunkiness. 

Crack in the eggs and beat together with the mashed banana.

For added fluffiness, you could also add 1/2 teaspoon baking powder at this time.

Stir in the walnuts and vanilla extract.

Pour about a 1/4 cup onto hot griddle.

Cook until edges are dry.

 Turn, cook until the other side is browned to your liking.