A030688 Smallest nontrivial extension of n-th square which is a square not ending 00.

16, 49, 961, 169, 256, 361, 49284, 64009, 81225, 100489, 121104, 1444, 169744, 196249, 225625, 256036, 289444, 3249, 361201, 400689, 4414201, 484416, 529984, 576081, 625681, 6765201, 729316, 784996, 8415801, 900601, 9616201