A018013 Powers of cube root of 13 rounded to nearest integer.

1, 2, 6, 13, 31, 72, 169, 397, 934, 2197, 5166, 12147, 28561, 67156, 157907, 371293, 873034, 2052795, 4826809, 11349443, 26686340, 62748517, 147542765, 346922420, 815730721, 1918055940, 4509991465