

A177240


Number of Ktoothpicks after n stages of 3D Ktoothpick structure defined in Comments.


1




OFFSET

0,3


COMMENTS

We are in 3D. Here the polytoothpick is a Ktoothpick. The Ktoothpick has 4 components or line segments, a central point and 4 endpoints, as a tetrapod but without volume. The Ktoothpick endpoints coincide with the vertices of a regular tetrahedron.
It appears that this is a threedimensional version of A160120, but with Ktoothpicks, not with Ytoothpick.
The first differences are in the entry A177241.
For the toothpick mechanism see A139250 and A160120.
Question: Is this the same as A116520? (To answer the question we need a program because the structure is hard to visualize).


LINKS

Table of n, a(n) for n=0..6.
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


CROSSREFS

Cf. A102376, A116520, A139250, A160120, A177241.
Sequence in context: A146419 A162907 A165345 * A074741 A166701 A116520
Adjacent sequences: A177237 A177238 A177239 * A177241 A177242 A177243


KEYWORD

more,nonn


AUTHOR

Omar E. Pol, May 05 2010


EXTENSIONS

Edited by Omar E. Pol, May 07 2010


STATUS

approved



