cp's OEIS Frontend

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.

A284209 Decimal representation of generation n in the reversible cellular automaton RCA(3) when started with a single ON cell at generation 0.

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%I A284209 #14 Aug 09 2025 19:40:21
%S A284209 1,7,17,107,341,1799,4161,28123,81925,489335,1131601,7012459,22286421,
%T A284209 117469191,273748289,1840690907,5390025989,31943819383,74441889105,
%U A284209 461363702635,1465729172821,7728532584199,17872436875329,120787365293531,351860917551109
%N A284209 Decimal representation of generation n in the reversible cellular automaton RCA(3) when started with a single ON cell at generation 0.
%H A284209 Robert Price, <a href="/A284209/b284209.txt">Table of n, a(n) for n = 0..999</a>
%H A284209 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 A284209 Robert Price, <a href="/A284209/a284209.bfile.txt">Diagram of the first 35 generations</a>
%H A284209 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A284209 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%e A284209 The second generation (starting at 0) of RCA(3) is x...x where "x" is an ON cell and "." is OFF.  Treating this as a binary number yields 10001 which is 17 in decimal notation.  Thus a(2) = 17.
%Y A284209 Cf. A059319, A284208.
%K A284209 nonn
%O A284209 0,2
%A A284209 _Robert Price_, Mar 22 2017