You’re at the White House, enjoying Breast of Chicken Georgina, Rice Pilaf and Eggplant Provençale. You’re seated at the table with Lynda Johnson, the daughter of the most powerful man in America at the time. But you’re also chatting at your table with some of the greatest athletes of 1964.

This is where Dick Lyon, bronze medalist in the coxless fours, found himself on Tuesday, December 1, 1964, at a fete for the US Olympic Team medalists who competed at the Tokyo Olympiad several weeks earlier, hosted by President Lyndon B. Johnson.

“We didn’t shake hands with President Johnson,” Lyon, a rower from California, told me. “He was probably meeting with General Westmoreland, or someone. It was a busy time for them. But we got to shake hands with the vice president, Hubert Humphrey.”

In addition to the president’s daughter and a staff member of the White House, those seated at Lyon’s table were some of the most celebrated athletes of the Olympics: 10,000 meters gold medalist Billy Mills, fastest man-in-the-world gold medalist Bob Hayes, 110-meter hurdles champion Hayes Jones, double-gold medalist swimmer Donna deVarona, as well silver and bronze medalists in the modern pentathlon, yachting, and shooting.

Lyon shared with me a picture of the actual menu, which he passed around the table for their signatures. Here are the names of those at Lyon’s table, just in case you aren’t experts in graphology.

• Lynda Johnson
• Dave Kirkwood Modern Pentathlon
• Bill Mills 10,000 meters
• Dick Stearns Yachting
• Martin Gunnarsson Shooting
• Franklin C. Green Shooting
• Hayes Jones 110 m Hurdles
• Robert Hayes 100 meters 10.0
• Barbara Lee D Diamonstein, Assistant White House
• Terri Stickles Swimming
• Donna deVarona Swimming