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Search: id:A079730
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| A079730 |
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Kolakoski variation using (1,2,3,4) starting with 1,2. |
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1
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| 1, 2, 2, 3, 3, 4, 4, 4, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 1, 2, 3, 4, 1, 1, 2, 2, 3, 3, 4, 4, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 1, 2, 3, 4, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 1, 2, 2, 3, 3, 4, 4, 4, 1, 1, 1, 2, 3, 4, 1, 1, 2, 2, 3, 3, 4, 4, 4, 1, 1, 1, 2, 2, 2, 3, 4, 4, 1, 1, 1, 2, 2, 2, 2, 3, 4, 1, 1, 2, 2
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(1)=1 then a(n) is the length of n-th run. This kind of Kolakoski variation using(1,2,3,4,...,m) as m grows reaches the Golomb's sequence A001462.
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FORMULA
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Partial sum sequence is expected to be asymptotic to 5/2*n.
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EXAMPLE
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Sequence begins: 1,2,2,3,3,4,4,4,1,1,1,2,2,2,2,3,3,3,3, read it as: (1),(2,2),(3,3),(4,4,4),(1,1,1),(2,2,2,2),(3,3,3,3),... then count the terms in parentheses to get: 1,2,2,3,3,4,4,.. which is the same sequence.
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CROSSREFS
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Cf. A000002.
Sequence in context: A036041 A085654 A074719 this_sequence A035486 A130249 A061071
Adjacent sequences: A079727 A079728 A079729 this_sequence A079731 A079732 A079733
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 17 2003
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