Was there anything special about the center core other than boosting longer and needing to land out at sea? Seems like they've landed plenty out at sea, but not while landing two on land.
I thought this was impressive: "With a total of 27 first-stage engines, Falcon Heavy has engine-out capability that no other launch vehicle can match—under most payload scenarios, it can sustain more than one unplanned engine shutdown at any point in flight and still successfully complete its mission." http://www.spacex.com/falcon-heavy
The centre core is significantly strengthened to cope with the additional load from the side boosters. It also has slightly different aerodynamic properties because of the fixed struts that hold the boosters in place. Either of these could have affected the landing. They'll collect data and fix it.
It didn't actually run out of fuel. It didn't have enough of the hypergolic mix used to ignite the engines (triethylaluminium & triethylborane that causes the green flash sometimes seen at ignition) and only one of the three engines needed for the landing burn re-lit.
It is probably the fastest/highest burn they've ever tried to land, and thus needs the most fuel to land, expeirences the most structural stress, etc. etc.
That's unfortunate if so. You'd have thought there would have been plenty of extra fuel to obviate the need for a hard landing, given that the actual Roadster payload is a small fraction of the rocket's capability. This wasn't a mission where they were stretching fuel to make the landing, like they have with some of the marginal Falcon 9 launches in the past where the payload size was just at max for the vehicle.
I'm pretty sure that there was plenty of fuel margin. If it did come in too hot, there must have been some other reason.
My first thought is that the extra 'stuff' on the outside of the center booster required to connect the outside boosters might have caused some problems during re-entry.
That or simply timing issues. The center core should be faster than F9 is when it's coming in for landing, so if the compensation for that wasn't worked out quite right (possibly due to extra weight in addition to the velocity difference) that'd pretty quickly get it coming in too hot.
After all, it's only a few second difference between 'nominal' and 'way too hot' with the suicide-burn style landings.
Quite possibly, I just wanted to be generous. I'm not quite sure how much leeway the crush core in the legs plus 3-engine burn can offer. The 3-engine burn especially may give more options if they allow for it to be extended if the core is moving too fast, though it'd be understandable if that's not something they do.
But 2/3 is impressive! Seeing the simultaneous landings had me in tears!