Make brownie mix as directed on box for cake-like brownies using milk in place of water and 2 of the eggs. Cool.
While brownies are baking, combine cream cheese and eggs until smooth. Add puddings and sour cream and combine until smooth. Set aside.
Cut brownies into slices and press into greased springform pan until bottom is covered completely. Cube the remaining browie pieces. Cover bottom layer of brownie with half of cheese mixture. Sprinkle on the brownie cubs and finish with the remaining cheese mixture.
Place a cake pan containing 3 inches of water on bottom rack of oven.
Bake at 325 for 30 minutes, then lower heat to 300 for 30 minutes and turn oven off, leaving cake in oven while cooling.