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

0,3

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

Table of n, a(n) for n=0..9.

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.

Sequence in context: A161644 A347652 A215032 * A310534 A357688 A341983

Adjacent sequences: A294977 A294978 A294979 * A294981 A294982 A294983

Keyword

nonn,more

Author

Omar E. Pol, Nov 12 2017

Status

approved