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

0,3

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

Table of n, a(n) for n=0..19.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to toothpick sequences

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

Crossrefs

Cf. A139250, A153000, A222173, A222176, A222180.

Sequence in context: A047605 A295085 A153000 * A326379 A099107 A261255

Adjacent sequences: A222169 A222170 A222171 * A222173 A222174 A222175

Keyword

nonn,more

Author

Omar E. Pol, Mar 21 2013

Extensions

Name improved by Omar E. Pol, Nov 24 2013

Status

approved