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Search: id:A164302
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| A164302 |
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a(n) = 2* (the nth positive (odd) integer that is a palindrome when written in base 2). |
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+0
1
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| 2, 6, 10, 14, 18, 30, 34, 42, 54, 62, 66, 90, 102, 126, 130, 146, 170, 186, 198, 214, 238, 254, 258, 306, 330, 378, 390, 438, 462, 510, 514, 546, 594, 626, 650, 682, 730, 762, 774, 806, 854, 886, 910, 942, 990, 1022, 1026, 1122, 1170, 1266, 1290, 1386, 1434
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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When written in binary, a(n) is the smallest positive integer that is not a palindrome, and that contains the nth positive binary palindrome as a substring.
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LINKS
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Jasper Mulder, Table of n, a(n) for n=0..50000
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EXAMPLE
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The fifth positive integer that is a palindrome in base 2 is 9, which is 1001 in binary. a(5) therefore equals 18, which is 10010 in binary. 18 is the smallest integer, which when written in binary, it is not a palindrome and it contains 1001 as a substring.
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CROSSREFS
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Sequence in context: A132417 A103747 A000952 this_sequence A039956 A118369 A082816
Adjacent sequences: A164299 A164300 A164301 this_sequence A164303 A164304 A164305
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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), Aug 12 2009
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EXTENSIONS
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More terms from Jasper Mulder (jasper.mulder(AT)planet.nl), Oct 12 2009
More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 19 2009
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