This depends entirely on what you're working on - programming is just a tool to make something after all. As an example, I'm a video game programmer who specializes in gameplay (characters, weapons, metagame, other mechanics), AI, and user experience. This means I'm also part game designer, so there is a ridiculous amount of creativity required for my role on a daily basis (which I absolutely adore). It's really nice not working to a hard spec, a lot of my job is trying different approaches and seeing what's fun.
This depends entirely on what you're working on - programming is just a tool to make something after all. As an example, I'm a video game programmer who specializes in gameplay (characters, weapons, metagame, other mechanics), AI, and user experience. This means I'm also part game designer, so there is a ridiculous amount of creativity required for my role on a daily basis (which I absolutely adore). It's really nice not working to a hard spec, a lot of my job is trying different approaches and seeing what's fun.