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%I #13 Jul 26 2024 20:57:34
%S 1,0,21,0,381,136,5189,544,94493,43176,1311749,254944,24400989,
%T 10617384,336720133,59386080,6262162781,2688081960,86425034501,
%U 15602819808,1602324730205,689510189096,22111597905669,4029655427808,410123492458845,176987155003432,5661487452198661,1029729726008032,104994856690270557,45284638610044968
%N Decimal representation of the n-th iteration of the "Rule 73" 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="/A265156/b265156.txt">Table of n, a(n) for n = 0..999</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</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>
%e From _Michael De Vlieger_, Dec 04 2015: (Start)
%e First 12 rows, showing surrounding context at left, cells generated by the initial cell at center, and the decimal equivalent at right where leading zeros are lost:
%e 0 1 -> 1
%e 1 0 0 0 -> 0
%e 0 1 0 1 0 1 -> 21
%e 1 0 0 0 0 0 0 0 -> 0
%e 0 1 0 1 1 1 1 1 0 1 -> 381
%e 1 0 0 0 1 0 0 0 1 0 0 0 -> 136
%e 0 1 0 1 0 0 0 1 0 0 0 1 0 1 -> 5189
%e 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 -> 544
%e 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 -> 94493
%e 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 -> 43176
%e 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 -> 1311749
%e 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 -> 254944
%e 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 -> 24400989
%e (End)
%t rule = 73; 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}]
%Y Cf. A245549, A262448, A265122.
%K nonn,easy
%O 0,3
%A _Robert Price_, Dec 02 2015