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Decimal representation of the n-th iteration of the "Rule 153" elementary cellular automaton starting with a single ON (black) cell.
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%I #10 Jan 17 2016 20:21:22

%S 1,1,11,7,239,415,2751,127,65279,129535,781311,493567,15659007,

%T 26845183,178962431,32767,4294901759,8589541375,51538296831,

%U 34351874047,1030774325247,1786599440383,11819393482751,547616718847,280371153338367,556327013187583

%N Decimal representation of the n-th iteration of the "Rule 153" elementary cellular automaton starting with a single ON (black) cell.

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

%H Robert Price, <a href="/A262866/b262866.txt">Table of n, a(n) for n = 0..1000</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>

%t rule=153; rows=20; ca=CellularAutomaton[rule,{{1},0},rows-1,{All,All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]],{rows-k+1,rows+k-1}],{k,1,rows}]; (* Truncated list of each row *) Table[FromDigits[catri[[k]],2],{k,1,rows}] (* Decimal Representation of Rows *)

%Y Cf. A262855.

%K nonn,easy

%O 0,3

%A _Robert Price_, Jan 17 2016