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A122569 Consider the Thue-Morse sequence (A010059) at each iteration. Read each reversed string as a binary number and convert it to a decimal number. 2

%I #17 Mar 08 2024 09:01:22

%S 1,1,9,105,38505,1771476585,10838310072981296745,

%T 140350834813144189858090274002849666665,

%U 68033174967769840440887906939858451149105560803546820641877549596291376780905

%N Consider the Thue-Morse sequence (A010059) at each iteration. Read each reversed string as a binary number and convert it to a decimal number.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Thue-MorseSequence.html">Thue-Morse Sequence</a>

%F T(n,m)=ThueMorse(n, 1), a(n) = Sum_{m=1..2^(n - 1)} T(n,m)*2^(m - 1).

%t FromDigits[ #, 2] & /@ NestList[Flatten[ # /. {1 -> {0, 1}, 0 -> {1, 0}}] &, {1}, 8] (* _Robert G. Wilson v_, Sep 25 2006 *)

%Y Cf. A010059.

%K nonn,base

%O 1,3

%A _Roger L. Bagula_, Sep 17 2006

%E Edited by _Robert G. Wilson v_, Sep 25 2006

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Last modified April 23 16:40 EDT 2024. Contains 371916 sequences. (Running on oeis4.)