• Preheat the oven to 350°F (175°C). Spray or grease a doughnut pan or muffin tin really well (you can use muffin liners if you are using a muffin tin).
• Mix together the flour, baking powder, cinnamon, nutmeg, and salt.
• In another bowl, whisk together the egg, milk, melted butter (or oil), sugar and vanilla.
• Stir the dry ingredients into the wet mixture until just combined.
• Spoon the batter into the prepared donut pan, filling each one a nearly to the top. Bake for 15 to 17 minutes, until the donuts spring back to the touch or a toothpick comes out clean. Allow to cool for 5 minutes, then tap the doughnuts out onto a sheet pan. (If using a muffin tin, fill each well three-quarters full and bake for 20 to 25 minutes until they spring back to the touch or a toothpick comes out clean).

For the cinnamon sugar topping:

• Melt the butter in the microwave or a small pot.
• Combine the sugar and cinnamon in a small bowl. Dip each doughnut first in the melted butter and then in the cinnamon sugar on one side (or both sides if you prefer).