David Letterman

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** FILE ** In this July 16, 2013, file photo, host David Letterman smiles on the set of the “Late Show with David Letterman." A study released Monday of gags made by late-night comics found that Obama and Democrats provided the lion’s share of punchlines during the first six months of the year. That’s an abrupt change from 2012, when Mitt Romney proved a gift to the comic gods. (AP Photo/CBS, John Paul Filo)

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Actress Lindsay Lohan talks with David Letterman about her upcoming stint in rehab, her guest-star role in the series "Anger Management" and her film "Scary Movie 5" during the taping of the "Late Show With David Letterman" in New York on Tuesday, April 9, 2013. (AP Photo/CBS Entertainment, Jeffrey R. Staab)

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** FILE ** New Jersey Gov. Chris Christie (left) and late-night host David Letterman react with laughter during the governor's first visit to "Late Show With David Letterman" on Monday, Feb. 4, 2013. (AP Photo/CBS Broadcasting, Jeffrey Neira)

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The 2012 Kennedy Center Honorees, from left, John Paul Jones, Buddy Guy, Jimmy Page, Natalia Makarova, Robert Plant, Dustin Hoffman, and David Letterman pose for a group photo after the State Department Dinner for the Kennedy Center Honors gala Saturday, Dec. 1, 2012 at the State Department in Washington. (AP Photo/Kevin Wolf)

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David Letterman bandleader Paul Shaffer says he may retire when his contract expires in two years. (Associated Press)

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President Obama talks with host David Letterman on the set of "Late Show With David Letterman" at the Ed Sullivan Theater in New York on Tuesday, Sept. 18, 2012. (AP Photo/Carolyn Kaster)

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President Obama talks with David Letterman on the set of the "Late Show With David Letterman" at the Ed Sullivan Theater, Tuesday, Sept. 18, 2012, in New York. (AP Photo/Carolyn Kaster)

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In this photo provided by CBS, from left, Kyla Ross, Jordyn Wieber, McKayla Maroney, Aly Raisman and Gabby Douglas, members of the United States women's Olympic gymnastics gold medal-winning team, join television show host David Letterman on the set of the “Late Show with David Letterman,” Tuesday, Aug. 14, 2012, in New York. (AP Photo/CBS, John Paul Filo) MANDATORY CREDIT; NO SALES; NO ARCHIVE; FOR NORTH AMERICAN USE ONLY

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In this photo provided by CBS, from left, Kyla Ross, Jordyn Wieber, McKayla Maroney, Aly Raisman and Gabby Douglas, members of the United States women's Olympic gymnastics gold medal-winning team, join television show host David Letterman on the set of the “Late Show with David Letterman,” Tuesday, Aug. 14, 2012, in New York. (AP Photo/CBS, John Paul Filo)