login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

a(n) is the number of elements added at n-th stage in the structure of the finite cellular automaton of A299770.
4

%I #18 Feb 06 2019 06:10:33

%S 1,4,8,8,12,16,16,8,24,8

%N a(n) is the number of elements added at n-th stage in the structure of the finite cellular automaton of A299770.

%C The word of this cellular automaton is abcd. For more information see A296612.

%H N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>

%e The finite sequence can be written as an array of four columns as shown below:

%e 1, 4, 8, 8;

%e 12, 16, 16, 8;

%e 24, 8.

%e The first column gives the number of toothpicks of length 2.

%e The second column gives the number of D-toothpicks of length sqrt(2).

%e The third column gives the number of toothpicks of length 1.

%e The fourth column gives the number of T-toothpicks.

%e The sequence contains exactly 10 terms.

%Y Very similar to A294963.

%Y Cf. A299770, A296612.

%Y Cf. A139251 (toothpicks), A160173 (T-toothpicks), A194701 (D-toothpicks), A220501.

%Y For other hybrid cellular automata, see A289841, A290221, A294021, A294981.

%K nonn,tabf,fini,full

%O 1,2

%A _Omar E. Pol_, Mar 20 2018