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A182633 Number of toothpicks added at n-th stage in the toothpick structure of A182632. 13
0, 3, 6, 12, 12, 12, 24, 36, 24, 12, 24, 48, 60, 48, 60, 84, 48, 12, 24, 48, 60, 60, 84, 132, 132, 72, 60, 120, 168, 144, 156, 192, 96, 12, 24, 48, 60, 60, 84, 132, 132, 84, 84, 156, 228, 228, 228 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

First differences of A182632.

a(n) is also the number of components added at n-th stage in the toothpick structure formed by V-toothpicks with an initial Y-toothpick, since a V-toothpick has two components and a Y-toothpick has three components (For more information see A161206, A160120, A161644).

LINKS

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

David Applegate, The movie version

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

It appears that a(n) = 2*A161645(n) but with a(1)=3.

a(n) = 3*A182635(n). - Omar E. Pol, Feb 09 2013

EXAMPLE

From Omar E. Pol, Feb 08 2013 (Start):

When written as a triangle:

0;

3;

6;

12,12;

12,24,36,24;

12,24,48,60,48,60, 84, 48;

12,24,48,60,60,84,132,132,72,60,120,168,144,156,192,96;

12,24,48,60,60,84,132,132,84,84,156,228,228,228,...

...

It appears that positive terms of the right border are A007283.

(End)

CROSSREFS

A139250, A139251, A160120, A160121, A161206, A161207, A161644, A161645, A182632.

Sequence in context: A308727 A268217 A254793 * A038587 A090553 A078502

Adjacent sequences:  A182630 A182631 A182632 * A182634 A182635 A182636

KEYWORD

nonn,tabf,more

AUTHOR

Omar E. Pol, Dec 07 2010

STATUS

approved

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Last modified July 31 05:53 EDT 2021. Contains 346367 sequences. (Running on oeis4.)