The basis is quite unconventional for a french cake but very seasonal (and as a consequence I tend to cook one every year in Fall): pumpkin, cornmeal and apples.
The idea is to boil the chopped-up pumpkin, mash it and mix in some cornmeal. Separately split 2 to 4 eggs, whiten the yolks with a bit of sugar (brown sugar if possible), and beat the egg whites until ferm. Incorporate both preparations to the pumpkin/cornmeal mix until it is homogenous. Then place the mixture in a buttered dish, and cover with slices of apples. Add a dash of sugar on top of the apples and cook in the oven at 220°C for nearly 45 min.

The result, from above. When cut into slices, it should stand on its own in one piece. If not, then put more cornmeal the next time around :)