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%I #7 Mar 11 2014 01:32:33
%S 1,2,4,8,9,16,32,36,64,128,144,256,512,576,729,1024,2048,2304,4096,
%T 8192,9216,16384,32768,36864,46656,65536,131072,147456,262144,524288,
%U 589824,1048576,2097152,2359296,2985984,4194304,4782969,8388608,9437184
%N If b(n) is the number of 1's in the binary representation of n, then the positive integer n is included if n = k^b(n), for some k = integer.
%C Contains every power of 2. [From _Sean A. Irvine_, Nov 29 2009]
%e 36 in binary is 100100, which has two 1's. Since 36 = 6^2, with an exponent of 2, then 36 is included in this sequence.
%Y A161793
%K base,nonn
%O 1,2
%A _Leroy Quet_, Jun 19 2009
%E More terms from _Sean A. Irvine_, Nov 29 2009
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