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Search: id:A098154
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| A098154 |
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Summarize the previous term in ternary (in increasing order). |
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+0
3
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| 1, 11, 21, 1112, 10112, 1010112, 2011112, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122, 1011122
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Similar to A005151 but uses base 3: Let a(1)=1. Describing a(1) as "one 1" again gives a(2)=11 (same digit string as A005151 and similar sequences). Likewise, a(3) and a(4) have same digit strings as all but the binary sequence, but describing a(4) as "three 1's, one 2" gives a(5)=10112 when the frequency of digit occurrence is written in ternary and followed by the digit counted.
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FORMULA
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a(n) = 1011122 for all n >= 8 (see example).
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EXAMPLE
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Summarizing a(8) = 1011122 in increasing digit order, there are "one 0, four 1's, two 2s", so concatenating 1 0 11 1 2 2 gives a(9) = 1011122 (=a(10)=a(11)=...).
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CROSSREFS
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Cf. A098153 (binary), A098155 (base 4), A005151 (decimal and digit strings for all other bases b >= 5).
Sequence in context: A006711 A005151 A098155 this_sequence A158081 A007890 A063850
Adjacent sequences: A098151 A098152 A098153 this_sequence A098155 A098156 A098157
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KEYWORD
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base,easy,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 29 2004
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