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

0,2

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

Example

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.

Crossrefs

Cf. A059319, A284208.

Sequence in context: A082738 A092340 A181605 * A068172 A067185 A205989

Adjacent sequences: A284206 A284207 A284208 * A284210 A284211 A284212

Keyword

nonn,more

Author

Robert Price, Mar 22 2017

Status

approved