Hi,
I don't think router generates broadcast , but can request for arp for the destination peer if that is not available.
R1 (10.1.1.1)---> (10.1.1.2)R2..so if 10.1.1.2 is not having the arp on R1 end due to some issue on link or at R2 end ..it could request for arp packet..
I believe in the above case it can send arp packet request or broadcast..
I will check and let you know based on my research on the same..
Hope it Help..
-GI