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Number of ON (black) cells in the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.
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Robert Price, <a href="/A265205/b265205.txt">Table of n, a(n) for n = 0..999</a>
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Number of Black ON cells in the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single black ON cell.
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allocated for Robert PriceNumber of Black cells in the n-th iteration of the "Rule 73" elementary cellular automaton starting with a single black cell.
1, 0, 3, 0, 7, 2, 5, 2, 9, 6, 5, 10, 13, 6, 11, 10, 15, 10, 19, 10, 23, 10, 17, 20, 19, 16, 25, 18, 19, 20, 25, 14, 37, 20, 27, 26, 35, 20, 37, 30, 41, 24, 33, 36, 39, 26, 45, 36, 37, 38, 41, 36, 49, 44, 29, 56, 39, 40, 57, 40, 43, 60, 39, 48, 55, 44, 45, 64
0,3
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
<a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
<a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
rule = 73; rows = 30; Table[Total[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}]
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nonn,easy,new
Robert Price, Dec 04 2015
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