A267418 - OEIS

A267418

Triangle read by rows giving successive states of cellular automaton generated by "Rule 131" initiated with a single ON (black) cell.

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

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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

1 0 0 1 0

1 0 0 1 0 0 0

1 0 0 1 0 0 1 1 0

1 0 0 1 0 0 1 0 0 0 0

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

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

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

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

MATHEMATICA

rule=131; 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: A004601 A372552 A074937 * A263919 A371689 A362129

Adjacent sequences: A267415 A267416 A267417 * A267419 A267420 A267421

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 14 2016

STATUS

approved