A018133 Powers of fifth root of 7 rounded to nearest integer.

1, 1, 2, 3, 5, 7, 10, 15, 22, 33, 49, 72, 107, 157, 232, 343, 506, 747, 1102, 1627, 2401, 3543, 5229, 7717, 11389, 16807, 24803, 36604, 54019, 79720, 117649, 173623, 256229, 378135, 558042, 823543