A299477 Number of toothpicks added at n-th stage to the structure of the cellular automaton of A299476.

1, 2, 4, 6, 8, 6, 12, 10, 8, 12, 18, 24, 24, 20, 30, 18, 8, 12, 18, 24, 28, 28, 46, 38, 48, 46, 68, 66, 68, 50, 72, 36, 10, 12, 18, 24, 28, 28, 46, 42, 52, 60, 80, 88, 92, 90, 118, 84, 74

Offset

1,2

Comments

The "word" of this cellular automaton is abcb.

The associated sound to the animation of this cellular automaton could be [tick, tock, tack, tock], [tick, tock, tack, tock], and so on.

For more information about the "word" of a cellular automaton see A296612.

Links

Table of n, a(n) for n=1..49.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to cellular automata

Index entries for sequences related to toothpick sequences

Example

The structure of this irregular triangle is shown below:
   a,  b,  c,  b;
   a,  b,  c,  b;
   a,  b,  c,  b,  a,  b,  c,  b;
   a,  b,  c,  b,  a,  b,  c,  b,  a,  b,  c,  b,  a,  b,  c,  b;
...
So, written as an irregular triangle in which the row lengths are the terms of A011782 multiplied by 4, the sequence begins:
   1,  2,  4,  6;
   8,  6, 12, 10;
   8, 12, 18, 24, 24, 20, 30, 18;
   8, 12, 18, 24, 28, 28, 46, 38, 48, 46, 68, 66, 68, 50, 72, 36;
  10, 12, 18, 24, 28, 28, 46, 42, 52, 60, 80, 88,92, 90, 118, 84, 74, ...

Crossrefs

Cf. A139251, A160121, A296511 (word "abc"), A299476, A299479 (word "abcbc").

Sequence in context: A230865 A178699 A355311 * A360409 A319805 A055950

Adjacent sequences: A299474 A299475 A299476 * A299478 A299479 A299480

Keyword

nonn,tabf,more

Author

Omar E. Pol, Feb 11 2018

Status

approved