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A263428
Triangle read by rows giving successive states of cellular automaton generated by "Rule 3" initiated with a single ON (black) cell.
5
1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 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, 0, 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
OFFSET
0
COMMENTS
Row n has length 2n+1.
This sequence is also generated by Rule 35.
EXAMPLE
The first ten rows:
1
1 0 0
0 0 0 1 0
1 1 1 1 0 0 1
0 0 0 0 0 0 1 0 0
1 1 1 1 1 1 1 0 0 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 0 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 0 1 1 1 1
MATHEMATICA
rule = 3; rows = 20; Flatten[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows - k + 1, rows + k - 1}], {k, 1, rows}]]
CROSSREFS
Cf. A266068, A266069, A266070 (middle column), A260552 (rows reversed).
Sequence in context: A292438 A244525 A214263 * A016355 A016402 A016377
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Dec 20 2015
STATUS
approved