A337245 a(n) is the least perfect power whose digits can be rearranged in n different ways (including itself) to form perfect powers.

4, 125, 169, 1296, 16384, 10609, 1046529, 1006009, 10278436, 12348196, 12659364, 14243076, 100240144, 113294736, 102535876, 105452361, 102353689, 104346225, 108305649, 100460529, 1021953024, 102576384, 1012639684, 1001532609, 1034072649, 1006348729, 1108357264, 1039288644

Offset

1,1

Comments

Do all terms except 4 start with 1?

Links

Table of n, a(n) for n=1..28.

David A. Corneth, Examples n = 1..28 along the perfect powers

Example

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.

Crossrefs

Cf. A069656.

Sequence in context: A343427 A209040 A068891 * A073351 A195797 A354549

Adjacent sequences: A337242 A337243 A337244 * A337246 A337247 A337248

Keyword

nonn,base

Author

David A. Corneth, Aug 20 2020

Status

approved