The former president and Georgian said he was "very proud" of the run made by the NFL's Atlanta Falcons this season. 

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"I thought it was their year," he said of the Falcons.

The Falcons lost the NFC Championship game, and a chance for the franchise's second trip to the Super Bowl, to the San Francisco 49ers on Sunday.

"It was a good game and I'm so proud," he said of the 28-24 result. "They came up short, four points short." 

Carter, who also is a big Atlanta Braves fan and is frequently seen in the stands, said he is now looking forward to baseball season. 

The Democratic president wasn't the only former commander in chief seen mingling. 

Former President Clinton shook plenty of hands before the lunch, giving a handshake and shoulder pat to Sen. John KerryJohn KerryBudowsky: Dems madder than hell Tillerson: 'My view didn’t change' on Paris climate agreement CORRECTED: Three members of Mueller's team have donated to Democrats MORE (D-Mass.), who is slated to take his wife, Hillary ClintonHillary Rodham ClintonHouse intel panel will interview John Podesta next week: report Overnight Cybersecurity: Trump tweetstorm on Russia probe | White House reportedly pushing to weaken sanctions bill | Podesta to testify before House Intel OPINION: Trump’s bluff: Perfectly legal MORE's, spot atop the State Department. 

Former Presidents George H.W. Bush, who was recently released from hospital after an extended stay, and George W. Bush did not attend the inaugural.