login
A260552
Triangle read by rows giving successive states of cellular automaton generated by "Rule 17" initiated with a single ON (black) cell.
4
1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0
OFFSET
0
COMMENTS
Row n has length 2n+1.
This sequence is also generated by Rule 49.
EXAMPLE
The first ten rows:
1
0 0 1
0 1 0 0 0
1 0 0 1 1 1 1
0 0 1 0 0 0 0 0 0
1 1 0 0 1 1 1 1 1 1 1
0 0 0 1 0 0 0 0 0 0 0 0 0
1 1 1 0 0 1 1 1 1 1 1 1 1 1 1
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1
MATHEMATICA
rule=17; 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. A260692, A266090, A263428 (rows reversed).
Sequence in context: A359156 A352569 A101266 * A373307 A244612 A262805
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Dec 27 2015
STATUS
approved