|
%I #7 Jan 12 2016 00:05:30
%S 1,1,4,6,9,11,16,20,23,33,42,50,55,67,78,88,91,117,126,150,159,175,
%T 190,204,209,245,260,290,301,327,348,368,371,429,438,494,503,551,566,
%U 612,621,677,704,746,761,807,840,872,877,961,976,1054,1069,1131,1156
%N Total number of ON (black) cells after n iterations of the "Rule 105" 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="/A267149/b267149.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=105; 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 *) nbc=Table[Total[catri[[k]]],{k,1,rows}]; (* Number of Black cells in stage n *) Table[Total[Take[nbc,k]],{k,1,rows}] (* Number of Black cells through stage n *)
%Y Cf. A267145.
%K nonn,easy
%O 0,3
%A _Robert Price_, Jan 11 2016
|
