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Search: id:A136546
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| A136546 |
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Three-part semi-chaotic binary digit sum/product sequence modeled on a Rudin-Shapiro-type sequence like A014081. |
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+0
2
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| 0, 0, 1, 1, 1, 3, 3, 4, 4, 4, 5, 7, 7, 8, 9, 10, 9, 10, 11, 11, 11, 13, 13, 15, 15, 16, 16, 18, 18, 19, 20, 21, 20, 21, 22, 22, 22, 24, 25, 25, 25, 26, 26, 28, 28, 29, 30, 32, 31, 32
(list; graph; listen)
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OFFSET
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1,6
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FORMULA
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a(n)=Sum[1 - Mod[n - Floor[n/2^m], 2] + Mod[n - Floor[n/2^m], 2]Mod[n - Floor[n/2^(m - 1)], 2],{m, 1, Floor[(n)*Log[2]]}]
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MATHEMATICA
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Clear[s, k, n] k[n_] := Apply[ Plus, Table[1 - Mod[n - Floor[n/2^m], 2] +Mod[n - Floor[n/2^m], 2]Mod[n - Floor[n/2^(m - 1)], 2], {m, 1, Floor[(n)*Log[2]]}]]; a = Table[k[n], {n, 1, 50}]
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CROSSREFS
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Cf. A014081.
Adjacent sequences: A136543 A136544 A136545 this_sequence A136547 A136548 A136549
Sequence in context: A061023 A057690 A090972 this_sequence A058729 A021303 A130250
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KEYWORD
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nonn,uned
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 24 2008
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