A266810 - OEIS

%I #58 May 19 2024 14:03:33

%S 1,7,25,111,433,1751,7033,28047,112305,449495,1797241,7189903,

%T 28761777,115041239,460172409,1840706959,7362780849,29451183063,

%U 117804870777,471219107215,1884876906161,7539508732887,30158031924345,120632131515791,482528534929073

%N Decimal representation of the n-th iteration of the "Rule 62" 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="/A266810/b266810.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+3*x-3*x^2+3*x^3-36*x^4+40*x^5-56*x^6) / ((1-x)*(1+x)*(1-2*x)*(1-4*x)*(1+x^2)*(1+2*x+4*x^2)). - _Colin Barker_, Jan 04 2016 and Apr 17 2019

%t rule=62; 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. A071031, A266809.

%K nonn,easy

%O 0,2

%A _Robert Price_, Jan 03 2016