A294980 a(n) is the total number of elements after n-th stage in a hybrid cellular automaton formed by Y-toothpicks and V-toothpicks (see Comments lines for precise definition).

0, 1, 4, 10, 16, 22, 40, 58, 76, 82

Offset: 0

Author

Omar E. Pol, Nov 12 2017

Keywords

• nonn
• more

Comments

We are on the infinite triangular grid.

At stage 0 there are no elements in the structure, so a(0) = 0.

If n is odd at n-th stage we add Y-toothpicks to the structure.

If n is a positive even number at n-th stage we add V-toothpicks to the structure.

a(n) is the total number of Y-toothpicks and V-toothpicks after n-th stages.

A294981(n) gives the number of elements added to the structure at n-th stage.

The "word" of this cellular automaton is "ab". For further information about the word of cellular automata see A296612. - Omar E. Pol, Mar 05 2019

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. A139250, A160120 (Y-toothpicks), A161206 (V-toothpicks), A294981 (first differences), A296612.

For other hybrid cellular automata see: A289840, A290220, A294020, A294962.