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Search: id:A161501
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| A161501 |
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a(n) = the smallest positive integer that is a palindrome when represented in binary, and is made by appending some number (zero or more) of binary digits on the right of n's binary representation. |
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+0
2
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| 1, 5, 3, 9, 5, 27, 7, 17, 9, 21, 45, 51, 27, 119, 15, 33, 17, 73, 153, 165, 21, 45, 93, 99, 51, 107, 27, 231, 119, 495, 31, 65, 33, 273, 561, 73, 297, 153, 313, 325, 165, 85, 693, 717, 45, 93, 189, 195, 99, 403, 51, 843, 107, 219, 443, 455, 231, 471, 119, 975, 495, 2015
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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11 (decimal) in binary is 1011. Appending 01 to the right side of 1011 forms the binary palindrome 101101, which is 45 in decimal. Since two binary digits is the smallest number of digits that need to be appended to form a palindrome, then a(11) = 45. (Note that 45 is not the smallest positive number that when represented in binary is a palindrome and contains 1011 as a substring. That would instead be 11011 {binary} = 27 {decimal}.)
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CROSSREFS
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A145800, A161502
Sequence in context: A165789 A133090 A145800 this_sequence A118273 A073891 A086970
Adjacent sequences: A161498 A161499 A161500 this_sequence A161502 A161503 A161504
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KEYWORD
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base,nonn
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Jun 11 2009
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EXTENSIONS
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More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Sep 27 2009
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