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A293788
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Numbers k such that (d(k), d(k+1)) = (0,1) in the base-2 digits d(i) of sqrt(3).
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4
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3, 7, 10, 14, 19, 21, 25, 30, 32, 38, 41, 45, 47, 49, 51, 54, 59, 63, 67, 70, 72, 74, 78, 83, 85, 88, 90, 98, 105, 107, 115, 119, 125, 128, 131, 134, 136, 140, 147, 150, 153, 157, 162, 164, 167, 172, 175, 178, 182, 188, 193, 198, 203, 209, 211, 214, 218, 221
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OFFSET
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1,1
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COMMENTS
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LINKS
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EXAMPLE
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(d(i)) = (1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0,...) = A004547, in which (0,1) first occurs as (a(3),a(4)).
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MATHEMATICA
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z = 100; s = StringJoin[Map[ToString, First[RealDigits[N[Sqrt[3], 10000], 2]]]];
Take[Map[#[[1]]&, StringPosition[s, "00"]], z] (*A293787*)
Take[Map[#[[1]]&, StringPosition[s, "01"]], z] (*A293788*)
Take[Map[#[[1]]&, StringPosition[s, "10"]], z] (*A293789*)
Take[Map[#[[1]]&, StringPosition[s, "11"]], z] (*A293790*)
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CROSSREFS
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KEYWORD
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nonn,easy,base
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AUTHOR
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STATUS
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approved
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