If you control two Doubling Season, do counters get multiplied four times?

Each Doubling Season has a replacement effect that modifies how many counters are placed (CR 614.1c). When two are on the battlefield, both replacement effects apply to the same event — placing counters — and they stack multiplicatively.

Under CR 616.1, the affected player (or controller of the permanent receiving counters) chooses the order in which multiple applicable replacement effects apply. You apply the first Doubling Season: 1 counter becomes 2. Then you apply the second Doubling Season to that already-replaced event: 2 counters become 4. The end result is four times the original number of counters (CR 614.5, 616.1).

This is because each Doubling Season sees an event of counters being placed and doubles whatever number is currently being placed at that layer of replacement. They do not 'see through' each other — each one simply doubles whatever quantity it observes.

Concrete example: You cast Archangel of Thune and a creature you control gains lifelink, triggering Archangel's ability to place 1 +1/+1 counter on each creature. With two Doubling Seasons in play, the first doubles 1 to 2, then the second doubles 2 to 4 — so each creature gets 4 +1/+1 counters instead of 1.

The same logic applies to token production via Doubling Season (CR 614.1c), but note that tokens are a separate replacement effect clause — both Doubling Seasons also double token creation, resulting in 4× tokens as well.