Preheat oven to 350 degrees. Grease and lightly flour a bundt pan.
Place small skillet over medium heat. Add butter. Melt and allow to brown, stirring frequently. Butter should be lightly browned, not burnt. Set aside.
Beat eggs and vanilla together, then mix in the browned butter, bananas, sour cream sugar and sea salt.
I another bowl mix the baking powder into the flour, then add to wet mixture. Stir well until batter is smooth.
Scoop batter into bundt pan and smooth out. Bake for approximately 50 min. until inserted pick pulls clean.
Cool for about 5 -10 min, then flip onto a cooling rack. Once fully cool mix the icing ingredients and spread over the top of bundt cake. Allow to drip down.