Tanks were deployed on Omaha beach in the first wave. (DD Tanks on D-Day. Landing-Schedule Diagram - Omaha Beach.) The belief that there were no tanks or that most were lost in the DD sinking is an urban legend.
The intent was to land 112 tanks in the first few minutes of the attack and 12 more later in the day. About 70 M4 tanks were landed in the first wave, and about 40 survived the day, though survival for some means they could be repaired over the next few days, and some of the survivals landed after the first wave..
https://www.quora.com/Why-werent-tanks-deployed-on-Omaha-beach-during-the-1st-wave-of-D-Day
A late uncle of mine was a radio operator on a US merchant vessel that landed supplies at Omaha on D+1. He was able to go ashore for about an hour. A veteran of the perilous North Atlantic convoys run, he was pleased to see the devastation wrought on the German positions and an open wire cage holding a batch of miserable looking German prisoners under guard.