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A166935
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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 identically valued digits (all 0's or all 1's).
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2
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1, 2, 3, 4, 6, 7, 8, 12, 14, 15, 16, 23, 24, 28, 29, 30, 31, 32, 40, 47, 48, 56, 58, 60, 61, 62, 63, 64, 79, 80, 95, 96, 104, 112, 116, 120, 121, 122, 124, 125, 126, 127, 128, 159, 160, 176, 191, 192, 208, 223, 224, 232, 240, 242, 244, 248, 249, 250, 251, 252, 253, 254
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OFFSET
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1,2
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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 111 contains only 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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