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A266298
Triangle read by rows giving successive states of cellular automaton generated by "Rule 14" initiated with a single ON (black) cell.
4
1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0
OFFSET
0
COMMENTS
Row n has length 2n+1.
This sequence is also generated by Rules 46, 142 and 174.
EXAMPLE
The first ten rows:
1
1 1 0
1 1 0 0 0
1 1 0 0 0 0 0
1 1 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
MATHEMATICA
rule=14; 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. A164908, A266299, A267006 (row reverse).
Sequence in context: A348292 A127243 A127248 * A265695 A116938 A105589
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Dec 26 2015
STATUS
approved