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Search: id:A140459
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| A140459 |
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A positive integer n is included if n can be added to d(n) in binary without any carries, where d(n) is the number of positive divisors of n. In other words, no 1 in the binary representation of n is in the same position as any 1 in the binary representation of d(n). |
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+0
1
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| 4, 5, 8, 10, 13, 16, 17, 26, 27, 29, 32, 33, 34, 35, 36, 37, 41, 48, 51, 53, 54, 57, 58, 61, 64, 65, 66, 70, 73, 74, 80, 82, 89, 91, 96, 97, 100, 101, 102, 106, 109, 112, 113, 114, 115, 122, 123, 128, 129, 130, 135, 137, 144, 145, 146, 149, 153, 155, 157, 160, 161
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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27 in binary is 11011. 27 has 4 divisors. 4 in binary is 100. Comparing 11011 and 100, it is seen that the two do not have any ones in the same position, so 27 is included in the sequence.
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CROSSREFS
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Sequence in context: A026491 A033157 A059659 this_sequence A139132 A022435 A116050
Adjacent sequences: A140456 A140457 A140458 this_sequence A140460 A140461 A140462
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KEYWORD
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base,nonn
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AUTHOR
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Leroy Quet Jul 22 2008
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EXTENSIONS
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Extended beyond 32, R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 04 2008
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