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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

%I #8 Dec 08 2013 13:49:47

%S 0,1,10,100,1000,10000,100000,1000000,10000000,71624305,100000000,

%T 103849576,105823694,106597243,108326947,120463578,124093657,

%U 126509743,129306745,129738560,139784256,140786329,147863502,148936025,150973624

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

%C 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.

%H Lars Blomberg, <a href="/A168070/b168070.txt">Table of n, a(n) for n = 1..10000</a>

%o (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

%Y Cf. A029800.

%K base,nonn

%O 1,3

%A _Zak Seidov_, Nov 18 2009

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)