

A161210


Toothpick sequence starting at the outside corner of an infinite cube from which protudes a half toothpick.


4




OFFSET

0,3


COMMENTS

The sequence gives the number of toothpicks after n rounds. A161211 (the first differences) gives the number added at the nth round.
This structure is a threedimensional version of the toothpick structure of A153006.
Toothpicks are placed following a rotation of axes: x,y,z,x,y,z,... and so on.
See A139250 and A160160 for more information about the toothpick sequences.


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. A139250, A152980, A153006, A160160, A161211, A161212, A161214, A161216.
Sequence in context: A310275 A310276 A310277 * A256059 A258434 A249341
Adjacent sequences: A161207 A161208 A161209 * A161211 A161212 A161213


KEYWORD

more,nonn


AUTHOR

Omar E. Pol, Jun 06 2009


STATUS

approved



