B737-800
Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Distraction; Workload
Deviation / Discrepancy - Procedural Hazardous Material Violation; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Overcame Equipment Problem; General Maintenance Action
Human Factors
Crew Chief delivered a Dangerous Goods Form to crew of dry ice in the aft cargo compartment.  Load closeout received prior to takeoff did NOT reflect the restricted article of the dry ice; but we did not notice it was missing until after departure. Upon reaching initial cruise altitude I noticed the missing item on the load closeout and called operations to confirm whether the dry ice was indeed on board. They checked with the Crew Chief that it was on board and then coordinated with loads to send us an updated load closeout. All of the weights and other numbers were unchanged. The only difference was the YES in the restricted articles aft column. Flight proceeded to ZZZ uneventfully after that.It was late [at] night and it was raining. We were max structural weight and the ATIS takeoff runway had a 10 knot tailwind which made us too heavy to use. We had to coordinate a takeoff runway change.  Because we were so heavy we went over the takeoff data for weight; runway condition; atmospheric conditions carefully and multiple times. Due to all those factors we overlooked that the restricted articles section was missing the Dangerous Goods Form for dry ice on the load closeout.Need to remember to check not only the weights and performance numbers before takeoff but also other information like the restricted articles section. Perhaps we could have placed the Dangerous Goods Form on the pedestal until after the load closeout was received and reviewed. Or; the closeout could be formatted differently to more emphasize there are restricted articles so that it would stand out as different looking and be something we looked for when reviewing.
B737-800 Captain reported crew discovered; while enroute; the final load closeout form did not include required Hazmat data.