I applied through LinkedIn, was contacted shortly from HR for a brief phone interview. Then I had an in-person interview with the same HR rep, and another team member from the CEO office, but not a direct supervisor.
It was a newly created position, but they're not sure exactly what they want. Essentially, they're looking for a PM consultant, which is fine, but they almost expected a proposal of sorts in the interview. Which is inherently difficult to say: "I'll do X, I'll need Y, and I'll deliver Z" when you are provided with such limited information.
It's also unique in the fact that you are a PM, with no direct reports. It's closer to a general Operations staff position then a PM.