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Decimal representation of the n-th iteration of the "Rule 45" elementary cellular automaton starting with a single ON (black) cell.
1

%I #6 Jan 02 2016 03:59:00

%S 1,2,15,80,109,1718,987,29804,6833,503754,61471,8196000,446685,

%T 132869478,4044683,2135349340,28010209,34275691290,252075183,

%U 548965769712,1832196621,8790562745814,16523720315,140687644563596,114063811921,2251453327265770,1038913441855

%N Decimal representation of the n-th iteration of the "Rule 45" elementary cellular automaton starting with a single ON (black) cell.

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

%H G. C. Greubel, <a href="/A266622/b266622.txt">Table of n, a(n) for n = 0..249</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=45; 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. A266619.

%K nonn,easy

%O 0,2

%A _Robert Price_, Jan 01 2016