login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A160160 Toothpick sequence in the three-dimensional grid. 21
0, 1, 3, 7, 15, 23, 31, 39, 55, 87, 143, 175, 191, 199, 215, 247, 303, 359, 423, 503, 655, 887, 1239, 1383, 1431, 1463, 1487, 1527, 1583, 1639, 1703, 1783, 1935, 2167, 2519, 2735, 2903, 3079, 3351, 3711, 4207, 4655, 5191, 5855, 7023, 8511, 10511, 11279, 11583, 11919, 12183, 12375, 12487, 12607 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Similar to A139250, except the toothpicks are placed in three dimensions, not two. The first toothpick is in the z direction. Thereafter, new toothpicks are placed at free ends, as in A139250, perpendicular to the existing toothpick, but choosing in rotation the x-direction, y-direction, z-direction, x-direction, etc.

LINKS

Table of n, a(n) for n=0..53.

David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata

R. J. Mathar, C++ program

R. J. Mathar, View after stage 1

R. J. Mathar, View after stage 2

R. J. Mathar, View after stage 3

R. J. Mathar, View after stage 4

R. J. Mathar, View after stage 5

R. J. Mathar, View after stage 6

R. J. Mathar, View after stage 7

R. J. Mathar, View after stage 8

R. J. Mathar, View after stage 9

R. J. Mathar, View after stage 10

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Alex van den Brandhof and Paul Levrie, Tandenstokerrij, Pythagoras, Viskundetijdschrift voor Jongeren, 55ste Jaargang, Nummer 6, Juni 2016, (see page 19 and the back cover).

CROSSREFS

Cf. A139250, A160120, A160161, A160170, A170884, A170885, A170876.

Sequence in context: A103007 A077790 A165469 * A192122 A069119 A261413

Adjacent sequences:  A160157 A160158 A160159 * A160161 A160162 A160163

KEYWORD

nonn

AUTHOR

Omar E. Pol, May 03 2009, May 06 2009

EXTENSIONS

Edited by N. J. A. Sloane, Jan 02 2009

Extended with C++ program and illustrations by R. J. Mathar, Jan 09 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified November 21 17:44 EST 2017. Contains 295004 sequences.