Preheat the oven to 350°F (175°C). Grease and line a 9x9 inch baking pan with parchment paper.

In a mixing bowl, combine the melted butter and sugar. Mix until well combined.

Add the eggs and vanilla extract, and whisk until smooth.

Sift in the cocoa powder, flour, salt, and baking powder. Stir until just combined.

In another bowl, mix the pumpkin puree, cream cheese, sugar, egg, and pumpkin pie spice until smooth.

Pour half of the brownie batter into the prepared pan and spread evenly.

Spoon the pumpkin mixture over the brownie batter, then dollop the remaining brownie batter on top.

Use a spatula to swirl the mixtures together gently.

Bake in the preheated oven for 30 minutes or until a toothpick inserted in the center comes out with a few moist crumbs.

Allow to cool before cutting into squares and serving.