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 KerryKerry says he's 'hopeful, not confident' that China will cooperate on emissions Overnight Energy: EPA pledges new focus on environmental justice | Republicans probe EPA firing of Trump-appointed science advisers | Biden administration asks court to toss kids' climate lawsuit Indian prime minister assures Kerry country committed to Paris climate pledges MORE (D-Mass.), who is slated to take his wife, Hillary ClintonHillary Diane Rodham ClintonPelosi planned on retiring until Trump won election: report Pence autobiography coming from Simon & Schuster Amanda Gorman makes the cover of Vogue 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.