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A366351
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a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared whose binary string value contains at least one binary prime factor of a(n-1).
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1
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1, 2, 4, 5, 10, 6, 3, 7, 14, 8, 9, 11, 22, 12, 13, 26, 16, 17, 34, 18, 15, 19, 38, 20, 21, 23, 46, 24, 25, 27, 28, 29, 58, 30, 31, 62, 32, 33, 35, 37, 74, 36, 39, 43, 86, 40, 41, 82, 42, 44, 45, 47, 94, 48, 49, 55, 52, 50, 51, 53, 106, 54, 56, 57, 59, 118, 60, 61, 122, 64, 65, 69, 63, 67, 134, 66
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OFFSET
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1,2
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COMMENTS
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This is the base-2 equivalent of A365703. Unlike that sequence is it conjectured all numbers appear. The only fixed point in the first 10000 terms is 6, and it is likely no more exist.
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LINKS
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EXAMPLE
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a(6) = 6 = 110_2 as a(5) = 10 = 2*5 = 10_2*101_2, and 6 = "110" is the smallest unused positive number to contain at least one of "10" and "101".
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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