%I #3 Mar 30 2012 18:52:53

%S 2,3,10,151,38506,2523490711,10838310072981296746,

%T 199931532107794273605284333428918544791,

%U 68033174967769840440887906939858451149105560803546820641877549596291376780906

%N Numerators associated with denominators A000215(n) approximating the complementary Thue-Morse constant.

%C If in the sequence of numbers N for which A010060(N+2^n)=1-A010060(N) the odious (evil) terms are

%C replaced by 1's (0's), we obtain a 2^(n+1)-periodic binary sequence. These are the post-period

%C binary (base-2) digits of the complementary Thue-Morse constant 1-A014571 = 0.58754596635989240221663...,

%C which has a continued fraction and convergents 3/5, 7/12, 10/17, 47/80, 151/257, 801/1365,...

%C The a(n) are numerators of the convergents selected with denominators taken from A000215.

%H V. Shevelev, <a href="http://arXiv.org/abs/0907.0880">Equations of the form t(x+a)=t(x) and t(x+a)=1-t(x) for Thue-Morse sequence</a>, arXiv:0907.0880

%F a(n)=A000215(n)-A162634(n). For n>=1, a(n+1)=1+(2^(2^n)-1)*a(n) = 1+A051179(n)*a(n).

%Y Cf. A010060, A000215, A085394, A085395, A081706, A161627, A161639, A162634.

%K nonn,frac

%O 0,1

%A _Vladimir Shevelev_, Jul 08 2009, Jul 14 2009

%E Edited by _R. J. Mathar_, Sep 23 2009