A267349 - OEIS

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A267349

Triangle read by rows giving successive states of cellular automaton generated by "Rule 123" initiated with a single ON (black) cell.

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

1 1 1 0 1 1 1

0 0 0 1 1 1 0 0 0

1 1 1 1 1 0 1 1 1 1 1

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

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 0 0

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

MATHEMATICA

rule=123; 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: A153778 A065251 A039982 * A254651 A267579 A285414

Adjacent sequences: A267346 A267347 A267348 * A267350 A267351 A267352

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 13 2016

STATUS

approved