A168070 Numbers n with property that n, n^2, n^3, and n^4 have the same set of digits (not counting repetitions).

0, 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 71624305, 100000000, 103849576, 105823694, 106597243, 108326947, 120463578, 124093657, 126509743, 129306745, 129738560, 139784256, 140786329, 147863502, 148936025, 150973624

Offset: 1

Author

Zak Seidov, Nov 18 2009

Keywords

• base
• nonn

Comments

If n is here then also 10*n is. But not vice versa: if the term n is multiple of 10 then not necessarily n/10 is the term; e.g., 129738560, 172836950, 175438290 are terms but 12973856, 17283695, 17543829 not.

Links

• Lars Blomberg, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A029800.

Programs

PARI

isok(n) = s1 = Set(digits(n)); (s1 == Set(digits(n^2))) && (s1 == Set(digits(n^3))) && (s1 == Set(digits(n^4))); \\ Michel Marcus, Oct 15 2013