Prepare brownie mix as directed on package and pour into greased 9x13 pan. In a separate bowl, beat cream cheese, butter, and sugar. Add egg, pumpkin, vanilla, and pumpkin pie spice and beat until well combined. Stir in flour. Drop heaping tablespoonfuls of pumpkin mixture onto brownie batter. Drag knife across top of batter horizontally and then vertically to create a "swirl" effect.

Bake at 350°F for 28-34 minutes or until cheesecake layer is set (mine was closer to 34 minutes).