Point out information that was not included in a relief briefing caused some confusion between controllers at ZSE.

Narrative

I was relieving a Controller on R13. He gave no information on Aircraft X; above OTP/FL600 aircraft in his briefing. I assumed the position; signed in. As I did so; the Controller from low altitude observed a data block that had auto-acquired on his sector (Sector 30). He stepped over to Sector 13 and asked if I knew about Aircraft X. I said no and then observed the limited data block inside Sector 13 airspace. I asked the relieved Sector 13 Controller if he knew anything about it; he said no. I called ZOA Sector 43 and asked if they were working Aircraft X. They said yes. I said point out approved; but they said we had already taken a point out. I told them that the previous Controller knew nothing about it. They said no; he took a point out. The aircraft left the airspace without any further issues. Since I didn't observe the limited data block while receiving the briefing; but did see it after I had signed in (changing the DSR display pre-sets to my own); I wonder if the previous Controller had different settings that; for some reason; did not display Aircraft X's limited data block. If it was displayed I did not see it. The previous Controller did not know anything about it but had only been sitting there for a few minutes. The Controller previous to him had already gone home for the night so we don't know if he ever took a point out on the aircraft.