LEXINGTON, Ky. — It was one of the biggest games of the University of Kentucky basketball season, and Scott Pruitt had scored two of the best seats in the arena: a few feet from the action, in a section reserved for season-ticket holders who had donated at least $1 million to the university.

The special access for Mr. Pruitt, the administrator of the Environmental Protection Agency, also included watching from the players’ entrance as the team streamed onto the court, and posing for a photo with a star player in the locker room area.

But there was more to the game last December than a superfan experience for Mr. Pruitt and his son, who joined him. They sat in seats belonging to Joseph W. Craft III, a billionaire coal executive who has engaged in an aggressive campaign to reverse the Obama administration’s environmental crackdown on the coal industry. Mr. Craft and his wife donated more than $2 million to support President Trump’s candidacy and inauguration.

Mr. Pruitt’s attendance at the game, the details of which have not been previously reported, followed a year of regulatory victories for Mr. Craft, who maintains close ties to Mr. Pruitt even as he has lobbied the E.P.A. on issues important to his company, Alliance Resource Partners. And unlike other executives with whom Mr. Pruitt is known to have close ties — like the oilman Harold Hamm or the coal mogul Robert E. Murray — Mr. Craft has stayed relatively under the radar.