A182635 Number of toothpicks added at n-th stage to the toothpick structure of A182634.

0, 1, 2, 4, 4, 4, 8, 12, 8, 4, 8, 16, 20, 16, 20, 28, 16, 4, 8, 16, 20, 20, 28, 44, 44, 24, 20, 40, 56, 48, 52, 64, 32, 4, 8, 16, 20, 20, 28, 44, 44, 28, 28, 52, 76, 76, 76

Offset

0,3

Comments

First differences of A182634.

First differs from A139251 at a(11).

Links

Table of n, a(n) for n=0..46.

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]

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

Index entries for sequences related to toothpick sequences

Index entries for sequences related to cellular automata

Formula

a(n) = A182633(n)/3.

Example

Contribution from Omar E. Pol, Dec 06 2012 (Start):
When written as an irregular triangle begins:
0;
1;
2;
4,4;
4,8,12,8;
4,8,16,20,16,20,28,16;
4,8,16,20,20,28,44,44,24,20,40,56,48,52,64,32;
4,8,16,20,20,28,44,44,28,28,52,76,76,76,...
(End)

Crossrefs

Cf. A139250, A139251, A160121, A161207, A161645, A182633, A182634, A194445.

Sequence in context: A160809 A139251 A342272 * A188346 A309690 A173531

Adjacent sequences: A182632 A182633 A182634 * A182636 A182637 A182638

Keyword

nonn,more

Author

Omar E. Pol, Dec 08 2010

Status

approved