login
{1001->1}-transform of the Thue-Morse word A010060.
5

%I #4 May 10 2017 17:48:31

%S 0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,0,

%T 1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,

%U 1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,0

%N {1001->1}-transform of the Thue-Morse word A010060.

%H Clark Kimberling, <a href="/A284792/b284792.txt">Table of n, a(n) for n = 1..10000</a>

%e As a word, A010060 = 0110100110010110100101100..., and replacing each 1001 by 1 gives 011011011010111011011101011011...

%t s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0}}] &, {0}, 9] (* A010060 *)

%t w = StringJoin[Map[ToString, s]]

%t w1 = StringReplace[w, {"1001" -> "1"}]

%t st = ToCharacterCode[w1] - 48 (* A284932 *)

%t Flatten[Position[st, 0]] (* A284933 *)

%t Flatten[Position[st, 1]] (* A284934 *)

%Y Cf. A010060, A284933, A284934.

%K nonn,easy

%O 1

%A _Clark Kimberling_, May 10 2017