Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #7 Jan 09 2016 15:11:19
%S 1,2,5,9,14,19,24,33,40,50,58,72,82,99,109,127,140,159,173,197,214,
%T 241,256,284,303,336,350,389,411,446,470,506,532,572,596,646,673,715,
%U 747,795,825,882,911,967,1003,1061,1099,1157,1191,1261,1293,1361,1406
%N Total number of ON (black) cells after n iterations of the "Rule 75" 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="/A266899/b266899.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=75; 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. A266892.
%K nonn,easy
%O 0,2
%A _Robert Price_, Jan 05 2016