A296611 Number of toothpicks added at n-th stage to the toothpick structure of A296610.

1, 1, 1, 1, 1, 2, 3, 3, 2, 3, 3, 4, 6, 5, 2, 3, 3, 4, 6, 7, 6, 8, 5, 8, 12, 10, 3, 3, 3, 4, 6, 7, 6, 8, 7, 10, 16, 16, 11, 10, 5, 8, 12, 16, 15, 19, 11, 19, 26, 21, 6, 3, 3, 4, 6, 7, 6, 8, 7, 10, 16, 16, 11, 10, 7, 10, 16, 20, 21, 26, 20, 25, 34, 36, 24, 16, 6, 8, 12, 16, 15, 19, 17, 25

Offset: 1

Author

Omar E. Pol, Mar 02 2019

Keywords

• nonn
• tabf

Comments

The word of this cellular automaton is "abc", the same as the word of A296511, but here the irregular triangle starts with three rows of length 3 as shown below:

a,b,c;

a,b,c;

a,b,c;

a,b,c,a,b,c;

a,b,c,a,b,c,a,b,c,a,b,c;

a,b,c,a,b,c,a,b,c,a,b,c,a,b,c,a,b,c,a,b,c,a,b,c;

...

Row lengths are 3, 3, 3, 6, 12, 24, 48, 96, ... or in other words: 3 together with the column 3 of A296612.

See also the example.

Examples

			Triangle begins:
1,1,1;
1,1,2;
3,3,2;
3,3,4,6,5,2;
3,3,4,6,7,6,8,5, 8,12,10, 3;
3,3,4,6,7,6,8,7,10,16,16,11,10,5, 8,12,16,15,19,11,19,26,21, 6;
3,3,4,6,7,6,8,7,10,16,16,11,10,7,10,16,20,21,26,20,25,34,36,24,16,6,8,12,16, ...
...
		

Links

• 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

Crossrefs

Cf. A139251, A296511, A296610, A296612.