A266459 - OEIS

A266459

Triangle read by rows giving successive states of cellular automaton generated by "Rule 27" initiated with a single ON (black) cell.

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

0 0 0 1 0

1 1 1 1 0 1 1

0 0 0 0 0 0 1 0 0

1 1 1 1 1 1 1 0 1 1 1

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

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

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

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

MATHEMATICA

rule=27; 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: A373489 A297054 A359349 * A354199 A214509 A053866

Adjacent sequences: A266456 A266457 A266458 * A266460 A266461 A266462

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Dec 29 2015

STATUS

approved