OFFSET
0,2
COMMENTS
Essentially the first differences of A194434.
First differs from A221528 at a(13). - Omar E. Pol, Mar 23 2013
From Omar E. Pol, Jun 24 2022: (Start)
The word of this cellular automaton is "ab".
For the nonzero terms the structure of the irregular triangle is as shown below:
a,b;
a,b;
a,b,a,b;
a,b,a,b,a,b,a,b;
a,b,a,b,a,b,a,b,a,b,a,b,a,b,a,b;
...
Columns "a" contain numbers of D-toothpicks (of length sqrt(2)).
Columns "b" contain numbers of toothpicks (of length 1).
An associated sound to the animation could be (tick, tock), (tick, tock), ..., the same as the ticking clock sound.
For further information about the word of cellular automata see A296612. (End)
LINKS
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
Paolo Xausa, Animated version for n = 0..31 (red elements)
Paolo Xausa, Animated version for n = 0..63 (red elements)
Paolo Xausa, Illustration of initial terms for n = 0..63 (red elements, multipage PDF)
FORMULA
a(n) = 4*A194445(n).
Conjecture: a(2^k+1) = 16, if k >= 1.
EXAMPLE
From Omar E. Pol, Mar 23 2013: (Start)
When written as an irregular triangle the sequence of nonzeros terms begins:
4, 8;
16,16;
16,32,44,32;
16,32,64,96, 48, 80,100, 64;
16,32,64,96,112,144,168,176, 80, 96,160,256,128,176,212,128;
16,32,64,96,112,144,176,208,168,192,240,400,272,336,332,336,112,96, ...
... (End)
Right border gives the powers of 2 >= 8 (reformatted the triangle). - Omar E. Pol, Jun 24 2022
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Sep 03 2011
EXTENSIONS
More terms from Omar E. Pol, Mar 23 2013
STATUS
approved