A018139 Powers of fifth root of 9 rounded to nearest integer.

1, 2, 2, 4, 6, 9, 14, 22, 34, 52, 81, 126, 195, 303, 470, 729, 1131, 1756, 2724, 4228, 6561, 10182, 15800, 24520, 38051, 59049, 91635, 142203, 220677, 342457, 531441, 824714, 1279829, 1986097, 3082117, 4782969