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.

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]

Links

Table of n, a(n) for n=1..39.

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

A161793

Sequence in context: A331992 A113570 A065391 * A111261 A276773 A294441

Adjacent sequences: A161789 A161790 A161791 * A161793 A161794 A161795

Keyword

base,nonn

Author

Leroy Quet, Jun 19 2009

Extensions

More terms from Sean A. Irvine, Nov 29 2009

Status

approved