A074072 Numerators of iterations of Thue-Morse sequence.

0, 1, 3, 105, 13515, 1771476585, 3804217000364127435, 140350834813144189858090274002849666665, 23879457134773177491341539034414728352082211931046871698790017205810876429515

Offset: 0

Author

Eric W. Weisstein, Aug 18 2002

Keywords

• nonn
• frac
• easy

Examples

			Fractions begin with 0, 1/4, 3/8, 105/256, 13515/32768, 1771476585/4294967296, ...
		

Links

• Amiram Eldar, Table of n, a(n) for n = 0..12
• Eric Weisstein's World of Mathematics, Thue-Morse Constant.

Crossrefs

Cf. A074073 (denominators).

Programs

Mathematica

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 *)

Extensions

a(8) from Amiram Eldar, Oct 05 2023