Preheat oven to 325°F (165°C). Grease and flour a 10-inch bundt pan. Sprinkle chopped nuts evenly over bottom of pan.
In a large bowl, combine cake mix and pudding mix. Mix in eggs, water, oil and Irish cream liqueur. Beat for 5 minutes at high speed. Pour batter over nuts in pan.
Bake in the preheated oven for 60 minutes, or until a toothpick inserted into the cake comes out clean. Cool for 10 minutes in the pan, then invert onto the serving dish.
To make the glaze: In a saucepan, combine butter, water and sugar. Bring to a boil and continue boiling for 5 minutes, stirring constantly. Remove from heat and stir in Irish cream.
Prick top and sides of cake with a toothpick. Spoon glaze over top and brush onto sides of cake. Allow to absorb glaze repeat until all glaze is used up.
The nutrition information provided are only estimates based on an online nutritional calculator. This is not a comprehensive list of all the nutrients in the recipe (i.e., does not include vitamins, cholesterol, etc). I am not a certified nutritionist. Please consult a nutritionist or doctor for accurate information and any dietary restrictions and concerns you may have.