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A265186
Triangle read by rows giving successive states of cellular automaton generated by "Rule 175" initiated with a single ON (black) cell.
6
1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1
OFFSET
0
COMMENTS
Row n has length 2n+1.
Although the start of this sequence is similar to that of A070200 and A226520, after a while these three sequences are completely different. - N. J. A. Sloane, Jan 18 2016
REFERENCES
S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
EXAMPLE
The first ten rows:
1
1 1 0
1 1 0 1 1
1 1 0 1 1 1 1
1 1 0 1 1 1 1 1 1
1 1 0 1 1 1 1 1 1 1 1
1 1 0 1 1 1 1 1 1 1 1 1 1
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
MATHEMATICA
rule=175; 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. A262779, A198694, A266678 (central column), A267922 (rows reversed).
Not the same: A070200, A226520.
Sequence in context: A261092 A285960 A174600 * A248392 A188318 A361897
KEYWORD
nonn,tabf,easy
AUTHOR
Robert Price, Jan 18 2016
STATUS
approved