A162793 Number of toothpicks added to the toothpick structure A139250 at the n-th odd round.

1, 4, 4, 12, 4, 12, 16, 32, 4, 12, 16, 32, 16, 36, 60, 80, 4, 12, 16, 32, 16, 36, 60, 80, 16, 36, 60, 84, 60, 112, 208, 192, 4, 12, 16, 32, 16, 36, 60, 80, 16, 36, 60, 84, 60, 112, 208, 192, 16, 36, 60, 84, 60, 112, 208, 196, 60, 112, 208, 224, 212, 364, 672, 448, 4, 12, 16, 32, 16

Offset

1,2

Comments

Bisection of A139251.

Note that these toothpicks are parallel to the initial toothpick in the structure.

First differences of A162795. - Omar E. Pol, Feb 23 2015

Links

Table of n, a(n) for n=1..69.

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 cellular automata

Example

From Omar E. Pol, Feb 23 2015: (Start)
Written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins:
1;
4;
4,12;
4,12,16,32;
4,12,16,32,16,36,60,80;
4,12,16,32,16,36,60,80,16,36,60,84,60,112,208,192;
4,12,16,32,16,36,60,80,16,36,60,84,60,112,208,192,16,36,60,84,60,112,208,196,60,112,208,224,212,364,672,448;
...
It appears that right border gives the positive terms of A001787.
It appears that row sums give A000302.
(End)

Crossrefs

Cf. A000302, A001787, A139250, A139251, A147582, A159791, A159792, A162794, A162795, A162796, A162797, A169708.

Sequence in context: A160721 A151836 A147582 * A269568 A169708 A256261

Adjacent sequences: A162790 A162791 A162792 * A162794 A162795 A162796

Keyword

nonn,tabf

Author

Omar E. Pol, Jul 14 2009

Extensions

More terms from N. J. A. Sloane, Dec 28 2009

Status

approved