A262859 - OEIS

%I #16 Apr 17 2019 14:57:01

%S 1,1,1001,1001,11001001,1001001,111001001001,101001001001,

%T 1100001001001001,111001001001001,11100101001001001001,

%U 10100001001001001001,110000111001001001001001,11100101001001001001001,1110010100001001001001001001,1010000111001001001001001001

%N Binary representation of the n-th iteration of the "Rule 145" 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="/A262859/b262859.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>

%F Empirical g.f.: (1 +1000*x^2 -1000*x^3 -89000000*x^4 -11000000*x^5 +11000000000*x^6 +79000000000*x^7 -90000000000*x^8) / ((1 -x)*(1 -10*x)*(1 -100*x)*(1 +100*x)*(1 +10*x +100*x^2)*(1 +10000*x^2)). - _Colin Barker_, Jan 17 2016 and Apr 17 2019

%t rule=145; 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]]],{k,1,rows}]   (* Binary Representation of Rows *)

%Y Cf. A262805.

%K nonn,easy

%O 0,3

%A _Robert Price_, Jan 17 2016