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a(n) is the least perfect power whose digits can be rearranged in n different ways (including itself) to form perfect powers.
1

%I #14 Sep 19 2020 23:42:59

%S 4,125,169,1296,16384,10609,1046529,1006009,10278436,12348196,

%T 12659364,14243076,100240144,113294736,102535876,105452361,102353689,

%U 104346225,108305649,100460529,1021953024,102576384,1012639684,1001532609,1034072649,1006348729,1108357264,1039288644

%N a(n) is the least perfect power whose digits can be rearranged in n different ways (including itself) to form perfect powers.

%C Do all terms except 4 start with 1?

%H David A. Corneth, <a href="/A337245/a337245.gp.txt">Examples n = 1..28 along the perfect powers</a>

%e a(3) = 169 = 13^2 as 169 is a perfect power and its digits can be permuted in three ways: 169 = 13^2, 196 = 14^2, and 961 = 31^2.

%Y Cf. A069656.

%K nonn,base

%O 1,1

%A _David A. Corneth_, Aug 20 2020