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Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion.
12

%I #10 Aug 24 2023 14:22:27

%S 184,196,464,500,544,550,552,584,588,622,626,670,706,1392,1436,1472,

%T 1500,1552,1632,1650,1654,1656,1744,1752,1764,1866,1868,1878,1978,

%U 2010,2030,2116,2118,3922,4136,4176,4308,4388,4416,4500,4656,4732,4756,4896,4900

%N Numbers k > 1 such that, in base 3, k and k^2 contain the same digits in the same proportion.

%H Alois P. Heinz, <a href="/A061657/b061657.txt">Table of n, a(n) for n = 1..10000</a>

%e 184 = 20211_3 and 184^2 = 1201102221_3.

%p p:= n-> add(x^i, i=convert(n, base, 3)):

%p a:= proc(n) option remember; local k;

%p for k from 1+`if`(n=1, 0, a(n-1))

%p while p(k)*2<>p(k^2) do od; k

%p end:

%p seq(a(n), n=1..50); # _Alois P. Heinz_, May 10 2015

%Y Cf. A061656, A061658, A061659, A061660, A061661, A061662, A061663, A114258, A061664.

%K base,easy,nonn

%O 1,1

%A _Erich Friedman_, Jun 16 2001

%E Offset changed to 1 by _Alois P. Heinz_, May 10 2015