A267605 - OEIS

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A267605

Triangle read by rows giving successive states of cellular automaton generated by "Rule 181" initiated with a single ON (black) cell.

1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 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:

0 1 1

0 1 0 1 1

0 1 1 1 0 1 1

0 1 0 1 0 1 0 1 1

0 1 1 1 1 1 1 1 0 1 1

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

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

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

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

MATHEMATICA

rule=181; 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: A115198 A005614 A341753 * A373550 A319843 A309847

Adjacent sequences: A267602 A267603 A267604 * A267606 A267607 A267608

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 18 2016

STATUS

approved