A014748 Squares of numbers in array formed from elements to the right of middle of rows of triangle of Eulerian numbers.

1, 1, 121, 1, 676, 1, 91204, 3249, 1, 1418481, 14400, 1, 243953161, 18429849, 61009, 1, 7785238756, 213393664, 252004, 1, 1717027605316, 207199756864, 2288665600, 1026169, 1, 94830864276996, 4855359366144, 23298053769, 4145296, 1