A222176 Total number of ON states after n generations of cellular automaton based on pentagons starting near of the vertex of an infinite 72-degree wedge.

0, 1, 3, 5, 7, 11, 17, 21, 23, 27, 35, 43, 49, 59, 73, 81, 83, 87, 95, 107, 123

Offset: 0

Author

Omar E. Pol, Mar 21 2013

Keywords

• nonn
• more

Comments

The structure is one of the five wedges of A222180.

The sequence gives the number of pentagons in the structure after n-th stage. A222177 (the first differences) gives the number of pentagons added at n-th stage.

Also P-toothpick sequence starting near of the vertex of an infinite 72-degree wedge, since each pentagon can be replaced by a P-toothpick.

For more information see A222180.

First differs from A152998 at a(10).

Links

• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
• Index entries for sequences related to toothpick sequences

Crossrefs

Cf. A139250, A152998, A222172, A222177, A222180.

Formula

a(n) = (A222180(n+1) - 1)/5.

Extensions

Name improved by Omar E. Pol, Nov 24 2013