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%I A284247 #10 Oct 03 2023 13:11:15
%S A284247 1,1,101,1,10101,10001,1000101,1,100010101,100010001,10101000101,
%T A284247 100000001,1010000010101,1000000010001,100000001000101,1,
%U A284247 10000000100010101,10000000100010001,1010000010101000101,10000000100000001,101010001010000010101,100010001000000010001
%N A284247 Binary representation of generation n in the reversible cellular automaton RCA(1) when started with a single ON cell at generation 0.
%C A284247 This sequence is the binary representation of A101625.
%C A284247 The count of ON cells at each generation is A002487.
%H A284247 Robert Price, <a href="/A284247/b284247.txt">Table of n, a(n) for n = 0..999</a>
%H A284247 Alan J. Macfarlane, <a href="https://doi.org/10.1088/0305-4470/37/45/006">Linear reversible second-order cellular automata and their first-order matrix equivalents</a>, Journal of Physics A: Mathematical and General 37.45 (2004): 10791. See Fig. 3.
%H A284247 Robert Price, <a href="/A284247/a284247.bfile.txt">Diagram of the first 35 generations</a>
%H A284247 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A284247 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%e A284247 The fourth generation (starting at 0) of RCA(1) is x.x.x where "x" is an ON cell and "." is OFF. Treating this as a binary number yields 10101. Thus a(4) = 10101.
%Y A284247 Cf. A002487, A101625.
%K A284247 nonn
%O A284247 0,3
%A A284247 _Robert Price_, Mar 23 2017

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