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A144145
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A positive integer n is included if n contains the same number of 0's as 1's when represented in binary and the number of 0's (or the number of 1's) divides n.
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0
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2, 10, 12, 42, 156, 172, 180, 184, 204, 212, 216, 228, 232, 240, 535, 555, 565, 570, 590, 595, 620, 625, 665, 675, 690, 710, 740, 775, 790, 805, 810, 820, 835, 850, 865, 880, 905, 920, 930, 2142, 2166, 2172, 2262, 2268, 2292, 2334, 2358, 2364, 2382, 2394
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| 42 in binary is 101010. This contains the same number of 0's as 1's and that number (3) divides 42. So 42 is included in the sequence.
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MATHEMATICA
| Select[Range[5000], DigitCount[ #, 2, 0] == DigitCount[ #, 2, 1] && Mod[ #, DigitCount[ #, 2, 0]] == 0 &] [From Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Sep 15 2008]
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CROSSREFS
| Sequence in context: A071162 A075165 A061855 * A075170 A039571 A080981
Adjacent sequences: A144142 A144143 A144144 * A144146 A144147 A144148
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KEYWORD
| base,nonn
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AUTHOR
| Leroy Quet Sep 11 2008
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com) and Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Sep 15 2008
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