

A182633


Number of toothpicks added at nth 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
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OFFSET

0,2


COMMENTS

First differences of A182632.
a(n) is also the number of components added at nth stage in the toothpick structure formed by Vtoothpicks with an initial Ytoothpick, since a Vtoothpick has two components and a Ytoothpick 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), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)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



