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A136545
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Semi-chaotic binary digit sum/product sequence modeled on a Rudin-Shapiro-type sequence like A014081.
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1
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0, 1, 2, 2, 3, 3, 3, 5, 3, 6, 4, 7, 4, 7, 4, 11, 3, 12, 4, 13, 5, 14, 5, 15, 4, 17, 5, 17, 5, 17, 5, 22, 3, 23, 4, 24, 5, 25, 5, 27, 5, 29, 6, 29, 6, 29, 6, 32, 4, 33
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| a(n)=Sum[1 - 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
| Clear[s, k, n] k[n_] := Apply[Plus, Table[1 - 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
| Cf. A014081.
Sequence in context: A110869 A110876 A136132 * A125843 A147665 A127332
Adjacent sequences: A136542 A136543 A136544 * A136546 A136547 A136548
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KEYWORD
| nonn,uned
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AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 24 2008
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