To Mwilding,
Sound to me like the printer is sencing its failed to grab the paper right--simple acts like tightening the the side paper sliders in the paper inlet tray might help--or even cleaning or replacing the rubber rollers that grab the paper.
But the HP web page often has troubleshooting tips--so a look there can't hurt. The number of times the power light blinks may also be an error code. And even if off warranty, some printer manufacters do offer free e-mail support.