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A166934
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A positive integer n is included if the longest palindromic substring (or at least one of which that is tied for longest) in the binary representation of n consists of different valued digits (0 and 1).
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2
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5, 9, 10, 11, 13, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 97
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OFFSET
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1,1
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COMMENTS
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All terms of this sequence are contained in sequence A101082. (47 is the first integer that is in A101082, but is not in this sequence.)
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LINKS
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EXAMPLE
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29 in binary is 11101. There are two substrings in this that are tied for longest palindromic substring, 111 and 101. Since 101 contains both a 0 and 1's, then 29 is in this sequence.
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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