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%I #17 Oct 05 2023 03:27:13
%S 0,1,3,105,13515,1771476585,3804217000364127435,
%T 140350834813144189858090274002849666665,
%U 23879457134773177491341539034414728352082211931046871698790017205810876429515
%N Numerators of iterations of Thue-Morse sequence.
%H Amiram Eldar, <a href="/A074072/b074072.txt">Table of n, a(n) for n = 0..12</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Thue-MorseConstant.html">Thue-Morse Constant</a>.
%e Fractions begin with 0, 1/4, 3/8, 105/256, 13515/32768, 1771476585/4294967296, ...
%t f[0] = 0; f[n_] := (2^(-2^n))*(2^(2^(n - 1)) - 1)*(2^(2^(n - 1))*f[n - 1] + 1); Numerator@ Array[f, 9, 0] (* _Amiram Eldar_, Oct 05 2023 *)
%Y Cf. A074073 (denominators).
%K nonn,frac,easy
%O 0,3
%A _Eric W. Weisstein_, Aug 18 2002
%E a(8) from _Amiram Eldar_, Oct 05 2023