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Search: id:A163410
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| A163410 |
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A positive integer is included if it is a palindrome when written in binary, and it is not divisible by any primes that are not binary palindromes. |
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+0
2
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| 1, 3, 5, 7, 9, 15, 17, 21, 27, 31, 45, 51, 63, 73, 85, 93, 107, 119, 127, 153, 189, 219, 255, 257, 313, 365, 381, 443, 511, 765, 771, 1193, 1241, 1285, 1453, 1533, 1571, 1619, 1787, 1799, 1831, 1879, 2313, 3579, 3855, 4369, 4889, 5113, 5189, 5397, 5557, 5869
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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51 in binary is 110011, which is a palindrome. 51 is divisible by the primes 3 and 17. 3 in binary is 11, a palindrome. And 17 in binary is 10001, also a palindrome. Since all the primes dividing the binary palindrome 51 are themselves binary palindromes, then 51 is included in this sequence.
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CROSSREFS
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A163411
Sequence in context: A145388 A121820 A006995 this_sequence A064896 A076188 A073674
Adjacent sequences: A163407 A163408 A163409 this_sequence A163411 A163412 A163413
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KEYWORD
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base,nonn,new
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Jul 27 2009
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EXTENSIONS
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More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 10 2009
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