A067971 a(n+1) is the smallest number > a(n) such that the digits of a(n)^3 are all (with multiplicity) properly contained in the digits of a(n+1)^3, with a(0)=1.
1, 5, 25, 105, 678, 2685, 6631, 17248, 48056, 109016, 255085, 576468, 1026598, 2161819, 4793623, 10107506, 21624889, 46584891, 100042239, 215671305, 464309988, 1000305876, 2156229901, 4642492109, 10000266599
Offset: 0
Examples
5^3 = 125 and 25 is the next smallest number whose cube (in this case 15625) properly contains the digits 1,2,5.
Extensions
a(22)-a(24) from Sean A. Irvine, Jan 16 2024