This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%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