A266282 - OEIS

A266282

Triangle read by rows giving successive states of cellular automaton generated by "Rule 13" initiated with a single ON (black) cell.

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

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OFFSET

COMMENTS

Row n has length 2n+1.

LINKS

Robert Price, Table of n, a(n) for n = 0..9999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Stephen Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

EXAMPLE

The first ten rows:

0 1 0

0 0 1 0 1

1 1 0 1 0 1 0

0 0 0 0 1 0 1 0 1

1 1 1 1 0 1 0 1 0 1 0

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

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

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

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

MATHEMATICA

rule=13; 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

Cf. A266283, A266284, A266840 (rows reversed).

Sequence in context: A014789 A014669 A375678 * A228747 A285162 A074381

Adjacent sequences: A266279 A266280 A266281 * A266283 A266284 A266285

KEYWORD

nonn,tabf,easy,changed

AUTHOR

Robert Price, Dec 26 2015

STATUS

approved