cp's OEIS Frontend

A265281 Decimal representation of the n-th iteration of the "Rule 86" elementary cellular automaton starting with a single ON (black) cell.

%I A265281 #25 Feb 16 2025 08:33:27
%S A265281 1,7,19,123,275,1915,4627,32379,67347,463739,1276435,8001147,18245395,
%T A265281 124220283,309475859,2134808187,4354074387,30225757051,82642024979,
%U A265281 530573137531,1175676118803,8199373878139,19977819994643,139441424012923,286691477808915
%N A265281 Decimal representation of the n-th iteration of the "Rule 86" elementary cellular automaton starting with a single ON (black) cell.
%C A265281 Iterates of A269161 starting from a(0) = 1. - _Antti Karttunen_, Feb 20 2016
%C A265281 Also, the decimal representation of the n-th generation of the "Rule 859583292" 5-neighbors elementary cellular automaton starting with a single ON (black) cell. - _Philipp O. Tsvetkov_, Jul 17 2019
%D A265281 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
%H A265281 Robert Price, <a href="/A265281/b265281.txt">Table of n, a(n) for n = 0..999</a>
%H A265281 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H A265281 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A265281 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%F A265281 From _Antti Karttunen_, Feb 20 2016: (Start)
%F A265281 a(0) = 1, for n >= 1, a(n) = A269161(a(n-1)).
%F A265281 a(n) = A030101(A110240(n)). [The rule 86 is the mirror image of the rule 30.]
%F A265281 (End)
%t A265281 rule = 86; rows = 30; Table[FromDigits[Table[Take[CellularAutomaton[rule,{{1},0}, rows-1, {All,All}][[k]], {rows-k+1, rows+k-1}], {k,1,rows}][[k]],2], {k,1,rows}]
%o A265281 (Scheme, with memoization-macro definec)
%o A265281 (definec (A265281 n) (if (zero? n) 1 (A269161 (A265281 (- n 1)))))
%o A265281 ;; _Antti Karttunen_, Feb 20 2016
%Y A265281 Cf. A030101, A071032, A265280, A269161.
%Y A265281 Cf. also A110240.
%K A265281 nonn,easy
%O A265281 0,2
%A A265281 _Robert Price_, Dec 06 2015