A018058 Powers of fourth root of 5 rounded to nearest integer.

1, 1, 2, 3, 5, 7, 11, 17, 25, 37, 56, 84, 125, 187, 280, 418, 625, 935, 1398, 2090, 3125, 4673, 6988, 10449, 15625, 23365, 34939, 52245, 78125, 116824, 174693, 261227, 390625, 584121, 873464, 1306133