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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A266532 Total number of Y-toothpicks after n-th stage in the "outward" version of the cellular automaton of A160120. 5
0, 1, 4, 7, 16, 19, 28, 37, 58, 61, 70, 79, 100, 109, 130, 151, 196, 199, 208, 217, 238, 247, 268, 289, 334, 343, 364, 385, 430, 451, 496, 541, 634, 637, 646, 655, 676, 685, 706, 727, 772, 781, 802, 823, 868, 889, 934, 979, 1072, 1081, 1102, 1123, 1168, 1189, 1234, 1279, 1372, 1393, 1438, 1483, 1576, 1621, 1714, 1807, 1996, 1999, 2008, 2017 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

For the connection with A160720 (the "outward" version of the Ulam-Warburton cellular automaton A147562) see formula section and A267700.

A266533 (the first differences) gives the number of Y-toothpicks added to the structure at n-th stage.

First differs from A160120 at a(9).

First differs from A160715 at a(13).

LINKS

Table of n, a(n) for n=0..67.

David Applegate, The movie version

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

Index entries for sequences related to cellular automata

Index entries for sequences related to toothpick sequences

FORMULA

Conjecture: a(n) = 1 + 3*(A160720(n) - 1)/4 = 1 + 3*A267700(n-1), n >= 1. This formula is correct! - N. J. A. Sloane, Jan 23 2016

a(n) = 1 + 3*(A159912(n) - n)/2, n >= 1. - Omar E. Pol, Jan 24 2016

CROSSREFS

Cf. A139250, A147562, A159912, A160120, A160715, A160720, A266533, A267700, A267701.

Sequence in context: A059014 A255650 A166700 * A160715 A160120 A130665

Adjacent sequences:  A266529 A266530 A266531 * A266533 A266534 A266535

KEYWORD

nonn

AUTHOR

David Applegate and Omar E. Pol, Jan 18 2016

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 July 24 18:02 EDT 2017. Contains 289776 sequences.