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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A267152 Triangle read by rows giving successive states of cellular automaton generated by "Rule 107" initiated with a single ON (black) cell. 10
1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Row n has length 2n+1.

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

LINKS

Robert Price, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

EXAMPLE

The first ten rows:

                  1

                1 0 0

              0 1 0 1 1

            1 1 0 1 1 1 0

          0 0 1 1 1 0 1 1 1

        1 1 1 1 0 1 1 1 0 1 0

      0 0 0 0 1 1 1 0 1 1 0 1 1

    1 1 1 1 1 1 0 1 1 1 1 1 1 1 0

  0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1

1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0

MATHEMATICA

rule=107; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) Flatten[catri] (* Triangle Representation of CA *)

CROSSREFS

Sequence in context: A321081 A267126 A266892 * A151667 A241759 A298249

Adjacent sequences:  A267149 A267150 A267151 * A267153 A267154 A267155

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 11 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 20 20:16 EDT 2019. Contains 323426 sequences. (Running on oeis4.)