A299770 a(n) is the total number of elements after n-th stage of a hybrid (and finite) cellular automaton on the infinite square grid, formed by toothpicks of length 2, D-toothpicks, toothpicks of length 1, and T-toothpicks.

1, 5, 13, 21, 33, 49, 65, 73, 97, 105

Offset

1,2

Comments

The structure is essentially the same as the finite structure described in A294962 but here there are no D-toothpicks of length sqrt(2)/2. All D-toothpicks in the structure have length sqrt(2).

The same as A294962, it seems that this cellular automaton resembles the synthesis of a molecule, a protein, etc.

After 10th stage there are no exposed endpoints (or free ends), so the structure is finished.

A299771(n) gives the number of elements added to the structure at n-th stage.

The "word" of this cellular automaton is "abcd". 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=1..10.

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

Very similar to A294962.

Cf. A299771, A296612.

Cf. A139250 (toothpicks), A160172 (T-toothpicks), A194700 (D-toothpicks), A220500.

For other hybrid cellular automata, see A194270, A220500, A289840, A290220, A294020, A294980.

Sequence in context: A273204 A273392 A273453 * A294962 A316357 A252296

Adjacent sequences: A299767 A299768 A299769 * A299771 A299772 A299773

Keyword

nonn,fini,full

Author

Omar E. Pol, Mar 20 2018

Status

approved