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Search: id:A122569
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| A122569 |
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Consider the Thue-Morse sequence (A010059) at each iteration. Read each reversed string as a binary number and convert it to a decimal number. |
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+0 1
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| 1, 1, 9, 105, 38505, 1771476585, 10838310072981296745, 140350834813144189858090274002849666665, 68033174967769840440887906939858451149105560803546820641877549596291376780905
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics
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FORMULA
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T(n,m)=ThueMorse(n, 1), a(n) = Sum_{m=1..2^(n - 1)} T(n,m)*2^(m - 1).
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MATHEMATICA
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FromDigits[ #, 2] & /@ NestList[Flatten[ # /. {1 -> {0, 1}, 0 -> {1, 0}}] &, {1}, 8] (* Robert G. Wilson v Sep 25 2006 *)
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CROSSREFS
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Cf. A010059.
Sequence in context: A110698 A012485 A052503 this_sequence A039619 A080505 A104224
Adjacent sequences: A122566 A122567 A122568 this_sequence A122570 A122571 A122572
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KEYWORD
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nonn
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AUTHOR
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Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 17 2006
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EXTENSIONS
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Edited by Robert G. Wilson v Sep 25 2006
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