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A159638 Start with [1] and repeatedly apply the map 0 -> [01/10], 1 -> [10/01]. 1

%I #5 Sep 08 2013 13:31:38

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

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

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

%N Start with [1] and repeatedly apply the map 0 -> [01/10], 1 -> [10/01].

%C Square array related to Thue-Morse sequences, read by antidiagonals.

%H Nathaniel Johnston, <a href="/A159638/b159638.txt">Table of n, a(n) for n = 0..10000</a>

%F T(n,0) = A010059(n); T(0,k) = A010059(k).

%e 1 -> [10/01] -> [1001/0110/0110/1001] -> [10010110/01101001/01101001/10010110/01101001/10010110/10010110/01101001] -> ...

%e Array begins:

%e 1 0 0 1 0 1 1 0

%e 0 1 1 0 1 0 0 1

%e 0 1 1 0 1 0 0 1

%e 1 0 0 1 0 1 1 0

%e 0 1 1 0 1 0 0 1

%e 1 0 0 1 0 1 1 0

%e 1 0 0 1 0 1 1 0

%e 0 1 1 0 1 0 0 1

%e ...

%Y Cf. A010059, A010060.

%K nonn,tabl,easy

%O 0,1

%A _Philippe Deléham_, Apr 17 2009

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Last modified April 16 13:40 EDT 2024. Contains 371713 sequences. (Running on oeis4.)