A222172 Total number of ON states after n generations of cellular automaton based on pentagons starting near of the vertex of an infinite 36-degree wedge.

0, 1, 2, 3, 5, 8, 10, 11, 13, 17, 21, 24, 29, 36, 40, 41, 43, 47, 53, 61

Offset: 0

Author

Omar E. Pol, Mar 21 2013

Keywords

• nonn
• more

Comments

The sequence gives the number of pentagons in the structure after n-th stage. A222173 (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 36-degree wedge, since each pentagon can be replaced by a P-toothpick.

For more information see A222180.

First differs from A153000 at a(9).

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, A153000, A222173, A222176, A222180.

Formula

a(n) = (((A222180(n+2) - 1)/5) - 1)/2 = (A222176(n+1) - 1)/2.

a(n) = (A222180(n+2) - 6)/10. - Omar E. Pol, Nov 24 2013

Extensions

Name improved by Omar E. Pol, Nov 24 2013