A018157 Powers of fifth root of 15 rounded to nearest integer.

1, 2, 3, 5, 9, 15, 26, 44, 76, 131, 225, 387, 665, 1142, 1964, 3375, 5801, 9970, 17137, 29454, 50625, 87013, 149555, 257051, 441813, 759375, 1305192, 2243328, 3855769, 6627188, 11390625, 19577886, 33649922