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A118111 Binary representation of n-th iteration of the Rule 190 elementary cellular automaton starting with a single black cell. 5

%I #26 Sep 01 2020 06:25:26

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

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

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

%N Binary representation of n-th iteration of the Rule 190 elementary cellular automaton starting with a single black cell.

%C Row n has length 2*n+1. - _Hans Havermann_, May 26 2002

%H Robert Price, <a href="/A118111/b118111.txt">Table of n, a(n) for n = 0..9999</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Rule190.html">Rule 190</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>

%H S. Wolfram, <a href="http://wolframscience.com/">A New Kind of Science</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%H <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>

%e From _Michael De Vlieger_, Aug 21 2020: (Start)

%e Irregular array begins:

%e 0: 1

%e 1: 1 1 1

%e 2: 1 1 1 0 1

%e 3: 1 1 1 0 1 1 1

%e 4: 1 1 1 0 1 1 1 0 1

%e 5: 1 1 1 0 1 1 1 0 1 1 1

%e 6: 1 1 1 0 1 1 1 0 1 1 1 0 1

%e 7: 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1

%e 8: 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1

%e 9: 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1

%e ... (End)

%t With[{nn = 9}, MapIndexed[#1[[#2 + 1 ;; 2 nn - #2 + 1]] & @@ {#1, nn - First[#2] + 1} &, CellularAutomaton[190, {{1}, 0}, nn]]] // Flatten (* _Michael De Vlieger_, Aug 21 2020 *)

%Y Cf. A265688 (binary rows), A037576 (decimal rows), A032766 (num 1's).

%K nonn,tabf

%O 0,1

%A _Eric W. Weisstein_, Apr 13 2006

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Last modified May 9 23:14 EDT 2024. Contains 372354 sequences. (Running on oeis4.)