Crash pads. It’s what boulderers (climbers who climb smaller technical routes) use to fall on. They usually have straps and you wear them like backpacks.
Comment below got it! The problem with leaving them outside is animals get into them and try to eat/tear out the foam. When the foam gets out it starts splitting into chunks and goes everywhere.
And the foam is a plastic (iirc), so it doesn't decompose.