CE560 First Officer reports unsafe nose landing gear indication during approach. After troubleshooting and checklist procedures an indication malfunction seems probable and a normal landing ensues.

Narrative

During before landing checklist on a visual approach the nose gear down/locked indication did not illuminate. I was the pilot flying; we briefed I would maintain a visual pattern over the airport while the pilot not flying pulled the appropriate checklist. Once we briefed how we were going to proceed I also re-contacted Center (we were over to advisory frequency at the time) and told them of our situation and plans. We accepted some vectors from Center to clear the airspace for an inbound IFR aircraft. The pilot not flying went back to brief the passengers on what was going and what we were going to do; then contacted the Chief Pilot to make sure we didn't have any more options available to us before we completed the emergency gear extension checklist and landed. We also checked all other indications (rotary test; chevron lit; no gear warning horn; we could hear the wind noise from the gear underneath us) prior to running the checklist and everything told us that it was an indication problem and the gear was indeed down. We complete the 'landing gear will not extend' checklist and landed normally. We relayed our safe landing through another aircraft overhead to Center.