A014756 Squares of numbers in array formed from odd elements to the right of middle of rows of triangle of Eulerian numbers.

1, 1, 121, 1, 1, 3249, 1, 1418481, 1, 243953161, 18429849, 61009, 1, 1, 1026169, 1, 23298053769, 1, 103788925659225, 228743149441, 16670889, 1, 179167257871956225, 1, 164949400968114956769, 6613857814673730625