A284209 Decimal representation of generation n in the reversible cellular automaton RCA(3) when started with a single ON cell at generation 0.
1, 7, 17, 107, 341, 1799, 4161, 28123, 81925, 489335, 1131601, 7012459, 22286421, 117469191, 273748289, 1840690907, 5390025989, 31943819383, 74441889105, 461363702635, 1465729172821, 7728532584199, 17872436875329, 120787365293531, 351860917551109
Offset: 0
Keywords
Examples
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.
Links
- Robert Price, Table of n, a(n) for n = 0..999
- Alan J. Macfarlane, Linear reversible second-order cellular automata and their first-order matrix equivalents, Journal of Physics A: Mathematical and General 37.45 (2004): 10791. See Fig. 3.
- Robert Price, Diagram of the first 35 generations
- Index entries for sequences related to cellular automata
- Index to Elementary Cellular Automata