A267126 - OEIS

A267126

Triangle read by rows giving successive states of cellular automaton generated by "Rule 99" initiated with a single ON (black) cell.

1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

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 0 0

0 1 0 1 0

1 1 0 1 0 0 1

0 0 1 1 0 0 1 0 0

1 1 1 0 1 0 1 0 0 1 1

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

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

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

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

MATHEMATICA

rule=99; 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: A163817 A266837 A321081 * A373991 A266892 A267152

Adjacent sequences: A267123 A267124 A267125 * A267127 A267128 A267129

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 10 2016

STATUS

approved