A067973
a(n+1) is the smallest number > a(n) such that the digits of a(n)^3 are all (with multiplicity) contained in the digits of a(n+1)^3, with a(0)=1.
Original entry on oeis.org
1, 5, 8, 25, 105, 678, 2685, 6631, 17248, 48056, 109016, 255085, 576468, 993996, 1026598, 1029697, 1061509, 1089598, 1231339, 1374358, 1753291, 1832389, 1896319, 2161819, 2162446, 2163199, 2231416, 2263201, 2264893, 2674003
Offset: 0
5^3 = 125 and 8 is the next smallest number whose cube (in this case 512) that contains the digits 1,2,5.
A067975
a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=2.
Original entry on oeis.org
2, 7, 43, 136, 367, 1157, 1822, 3658, 5558, 6196, 9679, 10183, 11794, 17852, 20813, 28354, 32193, 42852, 53787, 55044, 55707, 55983, 57636, 58464, 61719, 70209, 95232, 96354, 96921, 96963, 101407, 114223, 114323, 133564, 162293, 170843
Offset: 0
1157^2 = 1338649 and 1822 is the next smallest number whose square (in this case 3319684) contains the digits 1,3,3,8,6,4,9.
A067972
a(n+1) is the smallest cube > a(n) such that the digits of a(n) are all (with multiplicity) properly contained in the digits of a(n+1), with a(0)=1.
Original entry on oeis.org
1, 125, 15625, 1157625, 311665752, 19356769125, 291566137591, 5131167956992, 110979523759616, 1295599371716096, 16597961902739125, 191569168079975232, 1081935177662959192, 10103177625989916259, 110151807092929695367
Offset: 0
Showing 1-3 of 3 results.
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