A294962 a(n) is the total number of elements after n-th stage of a hybrid (and finite) cellular automaton formed by toothpicks, D-toothpicks and T-toothpicks on the infinite square grid (see Comments lines for precise definition).

0, 1, 5, 13, 21, 33, 53, 69, 77, 101, 117

Offset: 0

Author

Omar E. Pol, Nov 12 2017

Keywords

• nonn
• fini
• full

Comments

It seems that this cellular automaton resembles the synthesis of a molecule, a protein, etc.

After 10th stage there are no exposed endpoints in the structure, so the structure is finished.

A294963(n) gives the number of elements added to the structure at n-th stage.

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 (toothpicks), A160172 (T-toothpicks), A194700 (D-toothpicks), A220500, A294963.

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