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A168070 Numbers n with property that n, n^2, n^3, and n^4 have the same set of digits (not counting repetitions). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 13 23:52 EDT 2019. Contains 327983 sequences. (Running on oeis4.)