A107586 Powers of e^(1/e) rounded up.

1, 2, 3, 4, 5, 7, 10, 14, 19, 28, 40, 58, 83, 120, 173, 250, 360, 521, 752, 1086, 1569, 2266, 3273, 4728, 6831, 9868, 14256, 20594, 29752, 42981, 62093, 89704, 129592, 187217, 270466, 390734, 564480, 815486, 1178107, 1701973, 2458785, 3552127