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A161792
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.
2
1, 2, 4, 8, 9, 16, 32, 36, 64, 128, 144, 256, 512, 576, 729, 1024, 2048, 2304, 4096, 8192, 9216, 16384, 32768, 36864, 46656, 65536, 131072, 147456, 262144, 524288, 589824, 1048576, 2097152, 2359296, 2985984, 4194304, 4782969, 8388608, 9437184
OFFSET
1,2
COMMENTS
Contains every power of 2. [From Sean A. Irvine, Nov 29 2009]
EXAMPLE
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.
CROSSREFS
KEYWORD
base,nonn
AUTHOR
Leroy Quet, Jun 19 2009
EXTENSIONS
More terms from Sean A. Irvine, Nov 29 2009
STATUS
approved