

A122569


Consider the ThueMorse sequence (A010059) at each iteration. Read each reversed string as a binary number and convert it to a decimal number.


2



1, 1, 9, 105, 38505, 1771476585, 10838310072981296745, 140350834813144189858090274002849666665, 68033174967769840440887906939858451149105560803546820641877549596291376780905
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OFFSET

1,3


LINKS

Table of n, a(n) for n=1..9.
Eric Weisstein's World of Mathematics, ThueMorse Sequence


FORMULA

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


MATHEMATICA

FromDigits[ #, 2] & /@ NestList[Flatten[ # /. {1 > {0, 1}, 0 > {1, 0}}] &, {1}, 8] (* Robert G. Wilson v Sep 25 2006 *)


CROSSREFS

Cf. A010059.
Sequence in context: A012485 A052503 A261428 * A309652 A316145 A039619
Adjacent sequences: A122566 A122567 A122568 * A122570 A122571 A122572


KEYWORD

nonn,base


AUTHOR

Roger L. Bagula, Sep 17 2006


EXTENSIONS

Edited by Robert G. Wilson v Sep 25 2006


STATUS

approved



