A034072 Decimal part of a(n)^(1/7) starts with n so that a(n)<a(n+1).

129, 181, 250, 341, 459, 611, 804, 1047, 1350, 1725, 2752, 2814, 2878, 2944, 3010, 3078, 3147, 3217, 3289, 3362, 3436, 3512, 3590, 3668, 3749, 3830, 3914, 3998, 4085, 4173, 4262, 4354, 4446, 4541, 4637, 4735, 4835, 4937, 5040, 5146, 5253, 5362, 5473