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.

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

Offset

1,3

Links

Table of n, a(n) for n=1..9.

Eric Weisstein's World of Mathematics, Thue-Morse 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 A357295 A316145

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