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A293793
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Numbers k such that (d(k), d(k+1)) = (0,1) in the base-2 digits d(i) of e.
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4
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2, 4, 7, 17, 19, 21, 25, 27, 32, 34, 38, 40, 42, 46, 49, 52, 54, 56, 59, 62, 64, 66, 68, 75, 81, 83, 85, 90, 98, 101, 106, 111, 114, 120, 127, 131, 136, 138, 143, 149, 151, 158, 164, 170, 172, 175, 178, 181, 184, 187, 189, 191, 194, 196, 199, 207, 210, 213
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listen;
history;
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internal format)
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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, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1,...) = A004593, in which (0,1) first occurs as (a(2),a(3)).
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MATHEMATICA
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z = 100; s = StringJoin[Map[ToString, First[RealDigits[N[E], 10000], 2]]]];
Take[Map[#[[1]]&, StringPosition[s, "00"]], z] (*A293792*)
Take[Map[#[[1]]&, StringPosition[s, "01"]], z] (*A293793*)
Take[Map[#[[1]]&, StringPosition[s, "10"]], z] (*A293794*)
Take[Map[#[[1]]&, StringPosition[s, "11"]], z] (*A293795*)
SequencePosition[RealDigits[E, 2, 300][[1]], {0, 1}][[All, 1]] (* Harvey P. Dale, Apr 09 2022 *)
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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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