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

1,3

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

Prog

(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

Crossrefs

Cf. A029800.

Sequence in context: A232661 A029800 A232662 * A263019 A100061 A125858

Adjacent sequences: A168067 A168068 A168069 * A168071 A168072 A168073

Keyword

base,nonn

Author

Zak Seidov, Nov 18 2009

Status

approved